Question

Ratio of the adjacent angles of a parrallelogram is 2:3 Determine the measure of each angle

Answer 1

Let the angles of parallelogram in the ratio 2 : 3 be 2x and 3x

We know that, sum of adjacent angles of parallelogram is 180°


According to the question,

2x + 3x = 180

5x = 180

x = $\dfrac{180}{5}$

x = 36



1st angle => 2x

=> 2 × 36

=> 72°


2nd angle => 3x

=> 3 × 36

=> 108°


We know that the opposite angles of a parallelogram are equal.


∴ The four anglea of parallelogram are 72°, 108°, 72° and 108° respectively

Answer 2

Ans let the angle =x

2x+3x=180 (parrallelogram opp. Angle sum =180)

5x=180

x=180/5

x=36

2x=2*36=72

3x=3*36=108