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Chapters
2: Multiplication and Division of Integers
3: HCF and LCM
▶ 4: Angles and Pairs of Angles
5: Operations on Rational Numbers
6: Indices
7: Joint Bar Graph
8: Algebraic Expressions and Operations on Them
9: Direct Proportion and Inverse Proportion
10: Banks and Simple Interest
11: Circle
12: Perimeter and Area
13: Pythagoras’ Theorem
14: Algebraic Formulae - Expansion of Squares
15: Statistics
16: Miscellaneous Problems : Set 1
17: Miscellaneous Problems : Set 2
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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 Mathematics [English] 7 Standard Maharashtra State Board.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 15 [Page 25]
Observe the figure and complete the table for ∠AWB.
| Points in the interior | |
| Points in the exterior | |
| Points on the arms of the angles |
Name the pairs of adjacent angles in the figures below.
Are the following pair adjacent angle? If not, state the reason.
∠PMQ and ∠RMQ
Are the following pair adjacent angle? If not, state the reason.
∠RMQ and ∠SMR
Are the following pair adjacent angle? If not, state the reason.
∠RMS and ∠RMT
Are the following pair adjacent angle? If not, state the reason.
∠SMT and ∠RMS
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 16 [Page 26]
The measure of the angle is given below. Write the measure of the complementary angle.
40°
The measure of the angle is given below. Write the measure of the complementary angle.
63°
The measure of the angle is given below. Write the measure of the complementary angle.
45°
The measure of the angle is given below. Write the measure of the complementary angle.
55°
The measure of the angle is given below. Write the measure of the complementary angle.
20°
The measures of the angle is given below. Write the measures of their complementary angle.
90°
The measure of the angle is given below. Write the measure of the complementary angle.
x°
(y − 20)° and (y + 30)° are the measures of complementary angles. Find the measure of each angle.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 17 [Page 27]
Write the measure of the supplement of the angle given below.
15°
Write the measure of the supplement of the angle given below.
85°
Write the measure of the supplement of the angle given below.
120°
Write the measure of the supplement of the angle given below.
37°
Write the measure of the supplement of the angle given below.
108°
Write the measure of the supplement of the angle given below.
0°
Write the measure of the supplement of the angle given below.
a°
In ∆XYZ, m∠Y = 90°. What kind of a pair do ∠X and ∠Z make?
The difference between the measures of the two angles of a complementary pair is 40°. Find the measures of the two angles.
`square` PTNM is a rectangle. Write the names of the pairs of supplementary angles.
If ∠A and ∠B are supplementary angles and m∠B = (x + 20)°, then what would be m∠A?
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 18 [Page 28]
Are the ray PM and PT opposite rays? Give reasons for your answer.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 19 [Page 29]
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 20 [Page 30]
Lines AC and BD intersect at point P. m∠APD = 47°. Find the measures of ∠APB, ∠BPC, ∠CPD.
Lines PQ and RS intersect at point M. m∠PMR = x° What are the measures of ∠PMS, ∠SMQ and ∠QMR?
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 4 Angles and Pairs of Angles Practice Set 21 [Page 33]
∠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.
Using the measures of the angles given in the figure alongside, find the measures of the remaining three angles.
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
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 4 - Angles and Pairs of Angles
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Concepts covered in Mathematics [English] 7 Standard 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.
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