Question

measure of each of these equal angles.
3. In a quadrilateral ABCD, anglesA= 150° and angles B= angles C = angles D, find angles B, angles C
and angles D
​

Answer 1

Answer:

Angle B Angle C and Angle D is of 70 degree each.

Step-by-step explanation:

Given:The measure of one angle i.e angle A as 150 degree and other three angles are equal.

Find: Angle B, Angle C and Angle D

Sum of all angles of a quadrilateral= 360 degree

In quadrilateral ABCD

Angle A +Angle B+Angle C+ Angle D = 360 degree

Let us take the value of Angle B as variable x

So,

150+x+x+x= 360

(as the three angles are of equal measure Angle B= Angle C=Angle D)

150+3x= 360

3x= 360-150= 210

x= 210/3= 70 degreee