Three angles of a quadrilateral are equal. Fourth angle is of measure 120°. What is the measure of equal angles?

Solution:

Given, three angles of a quadrilateral are equal.

Fourth angle measures 120°.

We have to find the measure of equal angles.

Let the measure of three angles be x each.

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

So, x + x + x + 120° = 360°

3x + 120° = 360°

3x = 360° - 120°

3x = 240°

x = 240°/3

x = 80°

Therefore, the measure of equal angles is 80° each.

✦ Try This: Three angles of a quadrilateral are equal. Fourth angle is of measure 80°. What is the measure of equal angles?

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 170

Three angles of a quadrilateral are equal. Fourth angle is of measure 120°. What is the measure of equal angles?

Summary:

Three angles of a quadrilateral are equal. Fourth angle is of measure 120°. The measure of equal angles is 80°.

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