from a handpicked tutor in LIVE 1-to-1 classes

# 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

**Solution:**

Given that the adjacent angles of a parallelogram are in the ratio 3:2.

Thus, the angles are 3x and 2x respectively.

We know that the sum of the measures of adjacent angles is 180° for a parallelogram.

∠A + ∠B = 180°

3x + 2x = 180°

5x = 180°

x = 180°/5

x = 36°

Thus, one of the angles = 3x

3(36°) = 108°

The other angle is 2x

2(36°) = 72°

The other two angles are 72° and 108° since opposite angles of a parallelogram are equal.

Thus, the measures of the angles of the parallelogram are 108°, 72°, 108°, and 72°

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 3

**Video Solution:**

## 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

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3 Question 5

**Summary:**

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. The measures of each of the angles of the parallelogram are 108°, 72°, 108°, and 72°

**☛ Related Questions:**

- Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
- The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
- The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
- In the above figure both RISK and CLUE are parallelograms. Find the value of x.

visual curriculum