Question

the measure of two adjacent angles of a parallelogram are in the ratio 3 is to 2 find the measure of each of the angles of a parallelogram​

Answer 1

GIVEN :-

ratio between two adjacent angles of a parallelogram is = 3 : 2

let the adjacent angles be 3x and 2x respectively.

we know that,

sum of two adjacent angles in a parallelogram = 180°

⇒ 3x + 2x = 180°

⇒ 5x = 180°

⇒ x = 180/5

⇒ x = 36°

therefore the adjacent angles are :-

• 3x = 3 * 36 = 108°

• 2x = 2 * 36 = 72°

we also know that the opposite angles of a parallelogram are equal.

therefore the other two adjacent angles are also 108° and 72°

hence, all the angles of the parallelogram are 72°, 108°, 72° and 108°.

Answer 2

In a parallelogram the sum of angles adjacent is 180

let it be 3x and 2x

3x+2x=180

5x=180

x=180÷5

x=36

If x=36

then 2x=2(36)

2x=72

3x = 3(36)

3x = 108