Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.

Solution:

Given, two adjacent angles of a parallelogram are in the ratio 1 : 3

We have to find the measure of the angles.

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

Let the angles be x and 3x.

From the properties of a parallelogram, the sum of adjacent angles are supplementary.

So, x + 3x = 180°

4x = 180°

x = 180°/4

x = 45°

Now, 3x = 3(45°) = 135°

Therefore, the required measures of the angle are 45° and 135°

✦ Try This: Two adjacent angles of a parallelogram are in the ratio 3:4. Find their measures.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 133

Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.

Summary:

Two adjacent angles of a parallelogram are in the ratio 1:3. The measure of the angles are 45° and 135°.

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