Answer:
x = 22
y = 59
Explanation:
You want the values of x and y as shown in the figure where angles (2x)° and (y-15)° are vertical angles, and (2x)° and (2x+2)° are complementary.
Complementary angles
Two angles are complementary when their sum is 90°.
(2x)° +(2x+2)° = 90°
4x = 88 . . . . . . . . . . . divide by °, subtract 2
x = 22
Vertical angles
Vertical angles have the same measure:
(2x)° = (y -15)°
2·22 = y -15 . . . . . . divide by °, substitute for x
59 = y . . . . . . . . . add 15
The value of x is 22.
The value of y is 59.