Question

Two consecutive angles of a parallelogram are in the ratio of 2:3 find the measure of a each angle

Answer 1

Hello

Here is your answer

Ratio of 2 consecutive angles=2:3

Let the angles be 2x,3x

2x+3x=180(Since Adjacent angles  in a parallelogram are supplementary)

5x=180

x=180/5

x=36

Answer=

i)1st angle 2x=2(36)=72°

ii)2nd angle=3x=3(36)=108°

Hope it helps you

Answer 2

Given,

The ratio of two consecutive angles of a parallelogram = 2:3.

To Find,

The measure of each angle of the parallelogram.

Solution,

We know that,

A parallelogram's consecutive angles are supplementary.

The sum of two consecutive angles of any parallelogram is 180°.

The ratio of two consecutive angles of a parallelogram = 2:3.

Let's assume two angles be 2x and 3x.

So. 2x+3x=180.

⇒5x=180.

⇒x=$\frac{180}{5}$=36.

So one angle of the parallelogram is 2x = 2×36=72°.

Another angle is 3x=3×36=108°.

Hence, The measurement of the two consecutive angles of a parallelogram is 72° and 108°.