Question

Use the expressions given for the measures of supplementary angles to solve for x. then find the angle measures.

(4x + 8)° and (5x + 10)°

Answer 1

To solve for x, set the two given angle measures equal to each other and solve for x by simplifying and isolating x. Substitute the value of x back into one of the angle measures to find the angle measures. The angle measures are both 0°.

Step-by-step explanation:

To solve for x, we can set the two given angle measures equal to each other:

(4x + 8)° = (5x + 10)°

Next, we can solve for x by simplifying and isolating x:

4x + 8 = 5x + 10

8 - 10 = 5x - 4x

-2 = x

Now we can substitute x = -2 back into one of the angle measures to find the angle measures:

(4(-2) + 8)° = (5(-2) + 10)°

(0)° = (0)°

Therefore, the angle measures are both 0°.