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

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Question

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

Sum

Solution

Let the measure of equal angles be x each.

Then, by the angle sum property of a quadrilateral, we have

x + x + x + 120° = 360°

⇒ 3x = 360° – 120° 

⇒ 3x = 240°

⇒ x = 80°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 161]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 170 | Page 161

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