Question

Two angles are complementary. One angle has a measure of 40°
and the other has a measure of (8x+2)°
. What is the value of x
?(1 point)
Responses

50
50

60
60

6
6

11
11

Answer 1

Since the two angles are complementary, their sum must be 90°. We can set up the equation 40° + (8x+2)° = 90° and solve for x.

40° + 8x + 2° = 90°
42° + 8x = 90°
8x = 90° - 42°
8x = 48°
x = 48°/8
x = 6

Therefore, the value of x is 6.