Geometry

Question Analysis

This question focuses on identifying supplementary angles within a given geometric diagram.

Key Concept Explanation

Supplementary angles are two angles whose sum is 180°. In a geometric figure, when adjacent angles together create a straight - line, they are supplementary.

Step - by - Step Solution

1. Analyze each option:

A.∠WXH and ∠WXE: These two angles do not form a straight - line. They are adjacent but the non - common sides do not create an angle of 180°. So, they are not supplementary.

B.∠WXG and ∠WXE: They are not in a position to form a straight - line. The sum of these two angles is not 180°. So, they are not supplementary.

C.∠FXE and ∠WXE: These two angles are adjacent, and their non - common sides  and

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