Question

Two adjacent angles of a parallelogram are as 2 : 3. Find the measures of all the angles of a parallelogram.

Answer 1

2x + 3x = 180 [interior angle property]
In parallelogram, opposite sides are parallel and equal
5x = ${180}^{\circ }$
x = ${36}^{\circ }$
A = 2x = ${72}^{\circ }$
B = 3x = ${108}^{\circ }$
angle A = angle C
angle B = angle D