Geometry

Question Analysis

This question focuses on the concept of supplementary angles.

 

Key Concept Explanation

Supplementary angles are two angles whose measures sum up to 180°. In a geometric diagram, they often form a straight - line (a straight - angle) around a common vertex.

 

Step - by - Step Solution

1. Analyze each option:

A.∠EXY: ∠EXY and ∠HXY do not combine to form a straight - line around point X. So, they are not supplementary.

 

B.∠FXE: ∠FXE is not adjacent to ∠HXY in a way that they form a 180° angle around point X. Thus, it is not supplementary to ∠HXY.

 

C.∠GXH: ∠GXH and ∠HXY together form a straight - line (a straight - angle) around point X. Since a straight - angle measures 180°, ∠GXH is supplementary to ∠HXY.

 

D.∠HXW: ∠HXW and ∠HXY are adjacent but do not form a straight - line; their sum is not 180°. So, it is not supplementary to ∠HXY.

 

Common M...