angles X and Y are supplementary and the mesure of angle X is 24 degrees greater than the measure of angle Y. Find the measures of angles X and Y

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°