English

Three Angles of a Quadrilateral Are Equal. If the Fourth Angle is 69°; Find the Measure of Equal Angles.

Advertisements
Advertisements

Question

Three angles of a quadrilateral are equal. If the fourth angle is 69°; find the measure of equal angles.

Sum
Advertisements

Solution

Let each equal angle be x°

x + x + x + 69° = 360°

3x = 360°- 69

3x = 291

x = 97°

Each, equal angle = 97°

shaalaa.com
  Is there an error in this question or solution?
Chapter 27: Quadrilateral - Exercise 27 (A)

APPEARS IN

Selina Mathematics [English] Class 6
Chapter 27 Quadrilateral
Exercise 27 (A) | Q 9
Selina Concise Mathematics [English] Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (C) | Q 9 | Page 187

RELATED QUESTIONS

How many diagonals does following have?

A convex quadrilateral


How many diagonals does following have?

A regular hexagon


ABCD is a parallelogram, AD is produced to E so that DE = DC and EC produced meets AB produced in F. Prove that BF = BC.


Define the following term Quadrilateral .

 


In a quadrilateral, define of the following  Adjacent sides .


Complete of the following, so as to make a true statement:

In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.


In Fig. 16.19, ABCD is a quadrilateral.

 Name a pair of adjacent angles.


If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.


Angles of a quadrilateral are (4x)°, 5(x+2)°, (7x – 20)° and 6(x+3)°. Find :

(i) the value of x.
(ii) each angle of the quadrilateral.


From the following figure find;

  1. x
  2. ∠ABC
  3. ∠ACD

Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.


In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.

If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.


Find the angles of a quadrilateral whose angles are in the ratio 1: 4: 5: 2.


Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is ______.


If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a ______.


D and E are the mid-points of the sides AB and AC respectively of ∆ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is ______.


What is the maximum number of obtuse angles that a quadrilateral can have?


In the following figure, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is ______.


In the following figure,


∠COA is a/an ______ angle


In the following figure, name any four angles that appear to be acute angles.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×