Geometry

Question Analysis

This question combines geometric angle relationships (vertical angles and complementary angles) with algebraic equation - solving.

Key Concept Explanation

Vertical angles: When two lines intersect, vertical angles are non - adjacent and opposite each other, and they have equal measures. Here, and are vertical angles, so .

Complementary angles: Two angles are complementary if their sum is . Since , and , we can use the expressions (for ) and (for

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