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 answer

Since the two angles are complementary, their measures should add up to 90°.

Therefore, we can write the equation:

40° + (8x+2)° = 90°

Simplifying the equation, we get:

8x + 42 = 90

Subtracting 42 from both sides of the equation:

8x = 48

Dividing both sides of the equation by 8:

x = 6

So the value of x is 6.