Question

in a parallelogram ABCD a=60 degree then what is the measure of angle D

Answer 1

Given that angle A=60°

As AB and CD are parallel to each other and AD and BC are transversal

Angle A + B =180°

B = 180° - 60° =120°

Angle B= 120°

As in a llgm opposite angles are equal ,

Angle A = C= 60°

Angle B=D =120°

Hope it will belp you

Answer 2

Given - Angle A in parallelogram

Find - Measure of Angle D

Solution - The measure of angle D is 120°.

Assuming that angle D is adjacent to Angle A in the parallelogram.

As per the fact, the sum of neighbouring angles of a parallelogram is 180°. So, the sum of angle A and Angle D will be 180°.

Hence, angle A + angle D = 180°

60° + angle D = 180°

Angle D = 180° - 60°

Angle D = 120°

Thus, the measure of angle D is 120°.