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 ?

Question

A. 50
B. 11
C. 60
D. 6

Answer 1

Since the two angles are complementary, their measures add up to 90°. Therefore, we can set up the equation:
40° + (8x + 2)° = 90°
Adding like terms:
8x + 42 = 90
Subtracting 42 from both sides:
8x = 48
Dividing both sides by 8:
x = 6

The value of x is 6.

The correct answer is D. 6.