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)

Question

Responses

6
6

60
60

11
11

50

Answer 1

To find the value of x, we can set up an equation using the fact that the two angles are complementary.

The sum of the measures of two complementary angles is 90 degrees.

40 + (8x+2) = 90

Combine like terms:
8x + 42 = 90

Subtract 42 from both sides:
8x = 48

Divide both sides by 8:
x = 6

Therefore, the value of x is 6.