Question

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

Answer 1

Let us take the two adjacent angles be 3x & 2x

Note :- Sum of the adjacent angles in a parallelogram is 180°

So, we will simply add up and equal to 180 and will get the value of x

→ 3x + 2x = 180

→ 5x = 180

→ x = 180/5

→ x = 36

Thus, we got the value of x which is 36

Now, we will simply subsitute the values

• 1st angle :- 3x = 3 × 36 = 108
• 2nd angle :- 2x = 2 × 36 = 72

Answer 2

Answer

Given :-

Two adjacent Angles of parallelogram are in the ratio - 3 : 2

Let the angles be 3x and 2x.

To find :-

Measure of each angles of parallelogram

Solution :-

The adjacent angle of parallelogram sums up to 180°.

3x + 2x = 180°

5x = 180°

x = 36°

Angles = 3 × 36 = 108°

36 × 2 = 72°

Angles of parallelogram = 72° , 108° , 72° and 108°.