मराठी
सी.आई.एस.सी.ई.आयसीएसई ICSE Class 8

Two Angles of a Quadrilateral Are 68° and 76°. If the Other Two Angles Are in the Ratio 5 : 7; Find the Measure of Each of Them. - Mathematics

Advertisements
Advertisements

प्रश्न

Two angles of a quadrilateral are 68° and 76°. If the other two angles are in the ratio 5 : 7; find the measure of each of them.

बेरीज

उत्तर

Two angles are 68° and 76°

Let other two angles be 5x and 7x

68° + 76°+ 5x + 7x = 360°

12x + 144° = 360°

12x = 360° – 144°

12x = 216°

x = 18°

angles are 5x and 7x

i.e. 5 x 18° and 7 x 18° i.e. 90° and 126°

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Understanding Shapes - Exercise 16 (C) [पृष्ठ १८७]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
पाठ 16 Understanding Shapes
Exercise 16 (C) | Q 2 | पृष्ठ १८७
सेलिना Mathematics [English] Class 6
पाठ 27 Quadrilateral
Exercise 27 (A) | Q 2

संबंधित प्रश्‍न

How many diagonals does following have?

A convex quadrilateral


How many diagonals does following have?

A regular hexagon


In Fig. 16.19, ABCD is a quadrilateral. 

 Name a pair of opposite sides.


In Fig. 16.19, ABCD is a quadrilateral.

Name a pair of opposite angles.


In Fig. 16.19, ABCD is a quadrilateral.

How many pairs of opposite angles are there?


In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.

 

In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\] 

 

Complete the following statement by means of one of those given in brackets against each:

If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............


Complete the following statement by means of one of those given in brackets against each:

f consecutive sides of a parallelogram are equal, then it is necessarily a ..................


In quadrilateral ABCD, side AB is parallel to side DC. If ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5

(i) Calculate each angle of the quadrilateral.

(ii) Assign a special name to quadrilateral ABCD


From the following figure find;

  1. x
  2. ∠ABC
  3. ∠ACD

Given : In quadrilateral ABCD ; ∠C = 64°, ∠D = ∠C – 8° ; ∠A = 5(a+2)° and ∠B = 2(2a+7)°.
Calculate ∠A.


In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.


In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7.
Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other
(i) Is PS also parallel to QR?
(ii) Assign a special name to quadrilateral PQRS.


Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.


If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.


Observe the figure below and find out their name.


The three angles of a quadrilateral are 71°, 110°, 95°. Find its fourth angle.


The angles of a pentagon are x°, (x - 10)°, (x + 20)°, (2x - 44)° and (2x - 70)°. Find the angles.


The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.


ABCDE is a pentagon in which AB is parallel to DC and ∠A : ∠E : ∠D = 1 : 2 : 3. Find angle A.


In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is


A quadrilateral can have all four angles as obtuse.


Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.


If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is ______.


The number of right angles in a straight angle is ______ and that in a complete angle is ______.


The number of common points in the two angles marked in figure is ______.


Using the information given, name the right angles in part of figure:

BA ⊥BD


What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×