Question 170
Three angles of a quadrilateral are equal. The fourth angle is 120∘. What is the measure of equal angles?
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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∘+120∘=360∘⇒3x∘=240∘⇒x∘=80∘