Question

the measure of two adjacent angles of parallelogram are in the ratio 3:5 find the measure of each of the angle of the parallelogram​

Answer 1

let the ratio be = 3x and 5x

sum of adjacent angles of parallelogram is 180

A.T.Q

3x+5x=180

8x=180

x=180/8

x= 22.5

3x= 3× 22.5 =67.5

5x = 5× 22.5= 112.5

i hope this will help you

Answer 2

Answer:

Let the measures of two adjacent angles ∠A and ∠B be 3x and 2x respectively in

parallelogram ABCD.

∠A + ∠B = 180°

⇒ 3x + 2x = 180°

⇒ 5x = 180°

⇒ x = 36°

We know that opposite sides of a parallelogram are equal.

∠A = ∠C = 3x = 3 × 36° = 108°

∠B = ∠D = 2x = 2 × 36° = 72°

Step-by-step explanation: