Question

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

Answer 1

Let ABCD is a parallelogram

Let ∠A=3x and ∠B=2x

∠A+∠B=180

(Adjacent angle : Supplementary)

3x+2x⇒5x=180⇒x=180/5

x=36∘

∠A=∠C=3x=3×36

=108∘

∠B=∠D=2x=2×36=72∘