Question

Two adjacent angles of a parallelogram are as 2 : 3. Find the measure of each of its angles.

Answer 1

let 1st angle be 2x

2nd angle be 3x

Therefore by the condition,

2x + 3x= 180

5x =180

X= 180÷ 5

=36

Therefore 1st angle= 2x =2×36=72degree

2nd angle= 3x = 3× 36=108 degree

Answer 2

Answer:

let one angle be 2x and the other be 3x

Step-by-step explanation:

adjacent angles of a parallelogram are supplementary. So,

according to the question,

2x+3x=180degrees

5x = 180degrees

x= 180/5

= 36

1st angle = 2x = 2 multiplied by 36= 72 degree

2nd angle = 3x = 3 multiplied by 36= 108 degrees