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A quadrilateral has three acute angles, each measure 80°. What is the measure of the fourth angle?

A quadrilateral has three acute angles, each measure 80°. What is the measure of the fourth angle?

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let x be the measure of the fourth angle of a quadrilateral.

Sum of the four angles of a quadrilateral = 360°

80° + 80° + 80° + x = 360°

x = 360°– (80°+ 80°+ 80°)

x = 360°– 240°

x = 120°

Hence, the fourth angle is 120°.

Thanks

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