Find your Math Personality!

Find your Math Personality!

# If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are

(a) 72°, 108°

(b) 36°, 54°

(c) 80°, 120°

(d) 96°, 144°

**Solution:**

Given, the two adjacent angles of a parallelogram are in the ratio 2 : 3

We have to find the measure of these angles.

Let the angles be 2x and 3x.

We know that the sum of adjacent angles of a parallelogram are supplementary.

So, 2x + 3x = 180°

5x = 180°

x = 180°/5

x = 36°

Now, 2x = 2(36°) = 72°

3x = 3(36°) = 108°

Therefore, the required angles are 72° and 108°

**✦ Try This: **If two adjacent angles of a parallelogram are in the ratio 3 : 7, then the measure of angles are

**☛ Also Check: ** NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 31**

## If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are (a) 72°, 108° (b) 36°, 54° (c) 80°, 120° (d) 96°, 144°

**Summary:**

If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are 72° and 108°.

**☛ Related Questions:**

Math worksheets and

visual curriculum

visual curriculum