The angles shown below are supplementary:

Question

A pair of supplementary angles is shown. One angle measures 10x and the other angle measures 80 degrees.
What is the value of x? (5 points)

10°

11°

20°

22°

Answer 1

To find the value of x, we use the fact that supplementary angles add up to 180 degrees. Therefore, we have:

10x + 80 = 180

Subtracting 80 from both sides gives:

10x = 100

Dividing both sides by 10 gives us:

x = 10

Therefore, the value of x is 10.