Question

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.​

Answer 1

Step-by-step explanation:

ATQ

x+3=x+2

x-x=3-2

x=1

Answer 2

Given:

The ratio of measures of two adjacent angles of a parallelogram is 3 : 2.

Let the angles be 3x and 2x.

We know that,

Opposite angles of a parallelogram are equal.

Therefore,

→ 3x + 2x + 3x + 2x = 360°

→ 10x = 360°

→ x = 36

Hence,

⇒ 1st angle = 3x = 3 × 36 = 108°

⇒ 2nd angle = 2x = 2 × 36 = 72°

⇒ 3rd angle = 3x = 108°

⇒ 4th angle = 2x = 72°

$\therefore$ the measures of four angles of the given parallelogram are 108° , 72° , 108° , 72°.