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in Quadrilaterals by (50.4k points)
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Three angles of a quadrilateral are equal. Fourth angle is of measure 120°. What is the measure of equal angles?

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Best answer

Let x be one the three equal angles.

Sum of all the angles of a quadrilateral = 360o

⇒ x + x + x + 120o = 360o

⇒ 3x = 360o -120o

⇒ 3x = 240o

⇒ x = 80o

Thus, the measure of each of the equal angle is 80o.

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