Question

An obtuse angle of a parallelogram is twice is acute angle, find the measure of each angle

Answer 1

Let the measure acute angle be x
So, the measure of obtuse angle will be 2x
According to Condition
x+2x= 180°(Adjacent angles of parallelogram are supplementary)
3x= 180°
x=180°/3
x= 60°
So,the measure of angles are=x=60°
=2x=2×60°=120°
As,the opposite angles of parallelogram are equal so the measure of angles are=60°,120°,60°,120°.

Answer 2

Answer:

60°, 120°, 60°, 120°

Step-by-step explanation:

let acute angle= x

obtuse angle = 2x

A.T.Q

x+2x = 180° (adjacent angles of parallelogram are supplementary)

3x=180°

x = 180°/3

x = 60°

so, acute angle = 60°

obtuse angle = 2×60=120°

As, the opposite angles of parallelogram are equal. So, the measures of angles are 60°, 120°, 60°, 120°