The sum of the measure of angle ∠AXY and angle ∠YXB is the measure of ∠AXB.
The relationship between ∠AXY and ∠YXB is that they are;
Reasons:
From the diagram in the question, we have;
∠BXC = 90° Given
∠BXC and ∠BXA are linear pair angles
Therefore;
∠BXC and ∠BXA are supplementary angles, which gives;
∠BXC + ∠BXA = 180° definition of supplementary angles
Therefore;
∠BXA = 180° - ∠BXC
∠BXA = 180° - 90° = 90°
∠BXA = 90°
∠AXY + ∠YXB = ∠BXA by angle addition property
Which gives;
- ∠AXY + ∠YXB = 90° by substitution property
Therefore ∠AXY and ∠YXB are;
- Complementary angles, by definition of complementary angles.
Learn more about complementary angles here:
https://brainly.com/question/3070324
