Question

Fill in the blanks :-

In parallelogram ABCD , If Angle A : Angle B = 2:3 then find the measure of angle D.

Answer 1

2x+3x=180
x=36°
angle B=3×36
=108
angle B=angleD
so angle D=108°

Answer 2

Answer:

Let, the measure of angle A and angle B in the ratio be 2x and 3x.

Therefore, 2x+3x= 180° (supplementary angle )

⇒5x= 180°

⇒x= 180°/5

⇒x= 36°

Therefore, 2x= 2*36=72°

3x= 3*36= 108°

Therefore, Angle A= 72°

Angle B= 108°, Angle C= 72° (since, opposite angles of a parallelogram is equal), Angle D= 108° (since, opposite angles of a parallelogram is equal)

Step-by-step explanation: