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

☛ Related Questions:

• ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium
• The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the para . . . .
• ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the angles of the rhombus