Question

Two adjacent angels of a parallelogram are in the ratio 2:3. Find the measure of each of it's angles.

Answer 1

Let the ratio be x
now we have, 2x and 3x

In a parallelogram we know that opposite sides are parallel.

so now we have, 2x , 3x, 2x, 3x

now by using exterior angle property

2x+3x+2x+3x = 360
10x = 360
x = 360/10
x= 36

2x = 72
3x = 108

plz mark as brainlist..

Answer 2

let the 4 angles of the parallelogram be∠A=  2x and ∠B=3x

in a parallelogram, ∠A = ∠C and ∠B = ∠D

Therfore 4 angles of the parallelogram are 2x,3x,2x and 3x

sum of angles in a parallelogram = 360 deg

2x+2x+3x+3x = 360

10x = 360

x = 36 deg

the angles are 2(36deg), 3(36deg), 2(36deg) and 3(36deg)

72°,108°,72° and 108°