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?

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Given that one angle measures 40°, the other angle measures (8x+2)°.
So, the sum of the two angles is 40° + (8x+2)° = 90°.
We can solve for x by subtracting 40° from both sides of the equation and then dividing both sides by 8:
(8x+2)° = 90° - 40°
8x+2 = 50
8x = 50 - 2
8x = 48
x = 48/8
x = 6
Therefore, the value of x is 6.
So, the answer is C. 6.