Question

Two lines intersect to form a linear pair with equal measures. One angle has the measure 6x° and the other angle has the measure (9y − 63)°. Find the values of x and y.

Answer 1

The answer to your question is: x = 15 and y = 17

Explanation:

∠A = 6x

∠B = 9y - 63

they are linear pair, their addition gives 180°

but it also mention that linear pair with equal measure, so each angle measures 90°

6x = 90

x = 90/6

x = 15

9y - 63 = 90

9y = 90 + 63

9y = 153

y = 153/9

y = 17