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in Quadrilaterals by (30.3k points)
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Three angles of a quadrilateral are equal and the measure of the fourth angle is 120°. Find the measure of each of the equal angles.

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Let x be the common angle of quadrilateral. 

As per question,

\(\angle\)A = \(\angle\)B = \(\angle\)C + \(\angle\)D = 360°

x + x + x + 120° = 360°

3x = 360° - 120

3x = 240°

X = 240 / 3

= 80°

\(\angle\)A = \(\angle\)B = \(\angle\)C = 80°

So, Three Angles of quadrilateral whose measuring’s are equal is 80°.

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