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Maharashtra State BoardSSC (English Medium) 7th Standard

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board chapter 4 - Angles and Pairs of Angles [2023 edition]

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Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board chapter 4 - Angles and Pairs of Angles - Shaalaa.com
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Solutions for Chapter 4: Angles and Pairs of Angles

Below listed, you can find solutions for Chapter 4 of Maharashtra State Board Balbharati for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board.


Practice Set 15Practice Set 16Practice Set 17Practice Set 18Practice Set 19Practice Set 20Practice Set 21
Practice Set 15 [Page 62]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 15 [Page 62]

Practice Set 15 | Q 1. | Page 62

Observe the figure and complete the table for ∠AWB.

Points in the interior  
Points in the exterior  
Points on the arms of the angles              
Practice Set 15 | Q 2. | Page 62

Name the pairs of adjacent angles in the figures below.

Practice Set 15 | Q 3. (i) | Page 62

Are the following pair adjacent angle? If not, state the reason.

∠PMQ and ∠RMQ

Practice Set 15 | Q 3. (ii) | Page 62

Are the following pair adjacent angle? If not, state the reason.

∠RMQ and ∠SMR

Practice Set 15 | Q 3. (iii) | Page 62

Are the following pair adjacent angle? If not, state the reason.

∠RMS and ∠RMT

Practice Set 15 | Q 3. (iv) | Page 62

Are the following pair adjacent angle? If not, state the reason.

∠SMT and ∠RMS

Practice Set 16 [Page 63]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 16 [Page 63]

Practice Set 16 | Q 1. (i) | Page 63

The measure of the angle is given below. Write the measure of the complementary angle.

40°

Practice Set 16 | Q 1. (ii) | Page 63

The measure of the angle is given below. Write the measure of the complementary angle.

63°

Practice Set 16 | Q 1. (iii) | Page 63

The measure of the angle is given below. Write the measure of the complementary angle.

45°

Practice Set 16 | Q 1. (iv) | Page 63

The measure of the angle is given below. Write the measure of the complementary angle.

55°

Practice Set 16 | Q 1. (v) | Page 63

The measure of the angle is given below. Write the measure of the complementary angle.

20°

Practice Set 16 | Q 1. (vi) | Page 63

The measures of the angle is given below. Write the measures of their complementary angle.

90°

Practice Set 16 | Q 1. (vii) | Page 63

The measure of the angle is given below. Write the measure of the complementary angle.

x°

Practice Set 16 | Q 2. | Page 63

(y − 20)° and (y + 30)° are the measures of complementary angles. Find the measure of each angle.

Practice Set 17 [Page 64]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 17 [Page 64]

Practice Set 17 | Q 1. (i) | Page 64

Write the measure of the supplement of the angle given below.

15°

Practice Set 17 | Q 1. (ii) | Page 64

Write the measure of the supplement of the angle given below.

85°

Practice Set 17 | Q 1. (iii) | Page 64

Write the measure of the supplement of the angle given below.

120°

Practice Set 17 | Q 1. (iv) | Page 64

Write the measure of the supplement of the angle given below.

37° 

Practice Set 17 | Q 1. (v) | Page 64

Write the measure of the supplement of the angle given below.

108°

Practice Set 17 | Q 1. (vi) | Page 64

Write the measure of the supplement of the angle given below.

0°

Practice Set 17 | Q 1. (vii) | Page 64

Write the measure of the supplement of the angle given below.

a°

Practice Set 17 | Q 2. | Page 64
The measures of some angles are given below. Use them to make pairs of complementary and supplementary angles.
m∠B = 60°, m∠N = 30°, m∠Y = 90°, m∠J = 150°,
m∠D = 75°, m∠E = 0°, m∠F = 15°, m∠G = 120°
Practice Set 17 | Q 3. | Page 64

In ∆XYZ, m∠Y = 90°. What kind of a pair do ∠X and ∠Z make?

Practice Set 17 | Q 4. | Page 64

The difference between the measures of the two angles of a complementary pair is  40°. Find the measures of the two angles.

Practice Set 17 | Q 5. | Page 64

`square` PTNM is a rectangle. Write the names of the pairs of supplementary angles.

Practice Set 17 | Q 6. | Page 64
If m∠A = 70°, what is the measure of the supplement of the complement of ∠A?
Practice Set 17 | Q 7. | Page 64

If ∠A and ∠B are supplementary angles and m∠B = (x + 20)°, then what would be m∠A?

Practice Set 18 [Page 65]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 18 [Page 65]

Practice Set 18 | Q 1. | Page 65
Name the pairs of opposite rays in the figure alongside.
Practice Set 18 | Q 2. | Page 65

Are the ray PM and PT opposite rays?  Give reasons for your answer.

Practice Set 19 [Page 66]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 19 [Page 66]

Practice Set 19 | Q (i) | Page 66
Draw the pairs of angles as described below. If that is not possible, say why.
Complementary angles that are not adjacent.
Practice Set 19 | Q (ii) | Page 66
Draw the pairs of angles as described below. If that is not possible, say why.
Angles in a linear pair which are not supplementary.
Practice Set 19 | Q (iii) | Page 66
Draw the pairs of angles as described below. If that is not possible, say why.
Complementary angles that do not form a linear pair.
Practice Set 19 | Q (iv) | Page 66
Draw the pairs of angles as described below. If that is not possible, say why.
Adjacent angles which are not in a linear pair.
Practice Set 19 | Q (v) | Page 66
Draw the pairs of angles as described below. If that is not possible, say why.
Angles which are neither complementary nor adjacent.
Practice Set 19 | Q (vi) | Page 66
Draw the pairs of angles as described below. If that is not possible, say why.
Angles in a linear pair which are complementary.
Practice Set 20 [Page 67]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 20 [Page 67]

Practice Set 20 | Q 1. | Page 67

Lines AC and BD intersect at point P. m∠APD = 47°. Find the measures of ∠APB, ∠BPC, ∠CPD.

Practice Set 20 | Q 2. | Page 67

Lines PQ and RS intersect at point M. m∠PMR = x° What are the measures of ∠PMS, ∠SMQ and ∠QMR? 

Practice Set 21 [Page 70]

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 21 [Page 70]

Practice Set 21 | Q 1. | Page 70

∠ACD is an exterior angle of ∆ABC. The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B. 

Practice Set 21 | Q 2. | Page 70

Using the measures of the angles given in the figure alongside, find the measures of the remaining three angles.

Practice Set 21 | Q 3. | Page 70

In the isosceles triangle ABC, ∠A, and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x − 17)° and (8x + 10)°, respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.

Solutions for 4: Angles and Pairs of Angles

Practice Set 15Practice Set 16Practice Set 17Practice Set 18Practice Set 19Practice Set 20Practice Set 21
Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board chapter 4 - Angles and Pairs of Angles - Shaalaa.com

Balbharati solutions for Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board chapter 4 - Angles and Pairs of Angles

Shaalaa.com has the Maharashtra State Board Mathematics Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board Maharashtra State Board 4 (Angles and Pairs of Angles) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board chapter 4 Angles and Pairs of Angles are Complementary Angles, Concept of Angle, Opposite Rays, Concept of Linear Pair, Supplementary Angles, Concept of Vertically Opposite Angles, Interior Angles of a Polygon, Exterior Angle of a Triangle and Its Property.

Using Balbharati Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board solutions Angles and Pairs of Angles exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.

Get the free view of Chapter 4, Angles and Pairs of Angles Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board additional questions for Mathematics Integrated 7 Standard Part 1 [English Medium] Maharashtra State Board Maharashtra State Board, and you can use Shaalaa.com to keep it handy for your exam preparation.

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