Answer to Question #10560 in Geometry for Austin Renfro

Question

Given two parallel lines with a transversal, if one of the angles measure 50 degrees, find the measures of all other angles. Explain how you found the angles.

Answer 1

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& & & & & & & & & & & & & & 50 / 180-50 = 130
& & & & & & & & & & & & & & /
& & & & & & & & & & & & & /
& & & & & & & & & & & & & & /&
& & & 180-50 = 130 & /& 50
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Let's denote the given angle by α. The adjacent angle measure is π-α. At last, we admit that the corresponding angles of intersection with the transversal are equal.