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

60
6
50
11

Answer 1

If two angles are complementary, their measures add up to 90°.

We are given one angle with a measure of 40°, so the other angle must have a measure of (90 - 40)° = 50°.

The second angle is also given as (8x+2)°, so we can set up the equation:

50 = 8x + 2

Subtracting 2 from both sides:

48 = 8x

Dividing both sides by 8:

x = 6

Therefore, the value of x is 6.