Measures of angles are X = 102° and Y = 78°
Step-by-step explanation:
- Step 1: Let ∠X = 24 + Y. As they are supplementary angles, ∠X + ∠Y = 180°
⇒ 24 + Y + Y = 180
⇒ 2Y = 180 - 24 = 156
⇒ Y = 156/2 = 78°
- Step 2: Find measure of X
⇒ X = 24 + Y = 24 + 78 = 102°
