Answer:
The measure of angle Q is 133 degrees
Step-by-step explanation:
(x + 13) + (10x + 13) + (2x - 2) = 180 //There are 180 degrees in a triangle
x + 13 + 10x + 13 + 2x - 2 = 180 //Remove parentheses
13x + 24 = 180 //Combine like terms
13x = 156 //Subtract 24 from each side
x = 12 //Divide to get value of x
10(12) + 13 = Measure of angle Q //We know Q is 10x + 13, since we know what x is 12 from the previous step we'll substitute x for 12
120 + 13 = Measure of angle Q //Multiple 10 and 12
133 = Measure of angle Q
