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

11
11

6
6

60
60

50
50

Answer 1

Since the two angles are complementary, their sum should be equal to 90°.

Setting up an equation, we have:
40° + (8x+2)° = 90°

Combine like terms and solve for x:
8x + 42° = 90°
8x = 48°

Divide both sides by 8:
x = 6

Therefore, the value of x is 6.