Question

In the figure shown, which pair of angles must be supplementary?

(A) ∠AXY and ∠BXC
(B) ∠YXB and ∠BXC
(C) ∠AXD and ∠DXC
(D) ∠AXY and ∠AXD

Answer 1

(C)

Explanation:

What are supplementary angles?

• Supplementary angles are angles that add up to 180°. They're usually adjacent angles, but not all the time.

Given the information above, C) is correct because ∠AXD and ∠DXC are right angles. One right angle is worth 90°, so two adjacent right angles must be worth 180°, thus being supplementary.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer 2

C because the two angles add to 180° making it supplementary