Geometry

Question Analysis

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

Key Concept Explanation

Supplementary angles are two angles whose sum equals 180°. Adjacent angles that form a straight - line (linear pair) are supplementary.

Step - by - Step Solution

1. Analyze each option:

A.∠GXF and ∠GXH: These two angles do not form a straight - line. They share a common side , but their non - common sides do not create a 180° angle. So, they are not supplementary.

B.∠WXH and ∠FXY: These angles are not adjacent in a way that they form a straight - line. There is no indication that their sum is 180°. So, they are not supplementary.

C.∠HXY and ∠FXY: These two angles do not form a straight - line. They are part of different angular combinations around point and do not sum to 180°. So, they are not supplementary.

D.∠GXF and ∠FXY: These two angles are adjacent, and their non - common sides (

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