Final answer:
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°.