Question

the measure of two adjacent angles of a parallelogram are in ratio 3:2 find the measure of each of the angles of parallelogram​

Answer 1

Answer:

3x +2x=180

5x=180

x=180by5

x=36

3x=108

2x=72

hope it helps u

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Type

ANSWER

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

Since the adjacent angles of a parallelogram are supplementary.

∠A+∠B=180°

⇒3x+2x=180°

⇒5x=180°

⇒x= 180°/5 = 36°

∴∠3×36° = 108°

and, ∠B=2×36° = 72°

Since the opposite angles are equal in a parallelogram, therefore, ∠C=∠A=108°

and ∠D=∠B=72

Hence, ∠A=108°

,∠B=72°

,∠C=108°

and ∠D=72°