Final answer:
To solve for x in the equation 10x + 117x + 162 = 10, combine like terms and isolate x. The measure of the first angle is approximately 105.03° and the measure of the second angle is approximately 22.711°.
Step-by-step explanation:
To solve for x in the equation 10x + 117x + 162 = 10, we need to combine like terms and isolate x.
10x + 117x = 10 - 162
127x = -152
x = -152/127
x ≈ -1.197
The measure of the first angle is 10x + 117 = 10(-1.197) + 117 ≈ 105.03°.
The measure of the second angle is 117x + 162 = 117(-1.197) + 162 ≈ 22.711°.