Question

The measure 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

Answer:

Two adjacent _2x +3x =180

5x=180

x=180÷5

x=36

2x×36=72

3x×36=108

Answer 2

Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.

∵ the adjacent angles of a parallelogram are supplementary.

∴ ∠A+∠B=180°

   3x+2x= 180°

        5x = 180°

          x = 180/5

         x = 36

∴∠A= 3×36

 ∠A= 108°

 ∠B= 2×36

 ∠B= 72°

Now,

∠A=∠C

∠B=∠D

∵ Opposite angles of parallelogram are equal.

∴∠A= 108°

 ∠B= 72°

 ∠C= 108°

 ∠D= 72°