Solve Equations with Complementary Angles Quick Check

Question

5 of 55 of 5 Items

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?(1 point)
Responses

60
60

6
6

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 two complementary angles is 90 degrees.

So, we have:
40 + (8x+2) = 90

Now, let's solve for x:

40 + (8x+2) = 90
40 + 8x + 2 = 90
8x + 42 = 90
8x = 90 - 42
8x = 48
x = 48/8
x = 6

Therefore, the value of x is 6. So the correct answer is 6.