# One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.

**Solution:**

Given, one angle of a __quadrilateral__ is 108º

The remaining three angles are equal.

We have to find each of the three equal angles.

We know that the sum of all the angles of a quadrilateral is always equal to 360 degrees.

Let the other angle be x

So, 108 + x + x + x = 360º

108º + 3x = 360º

3x = 360º - 108º

3x = 252º

x = 252º/3

x = 84º

Therefore, each of the three equal angles are equal to 84º

**✦ Try This: **One angle of a quadrilateral is of 120º and the remaining three angles are equal. Find each of the three equal angles.

**☛ Also Check:** NCERT Solutions for Class 9 Maths Chapter 8

**NCERT Exemplar Class 9 Maths Exercise 8.3 Problem 1**

## One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.

**Summary:**

One angle of a quadrilateral is 108º and the remaining three angles are equal. Each of the three equal angles is 84º

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