TM= 3x + 5 MQ= x + 17 solve for x
TM= 3x + 5 MQ= x + 17 solve for x
TM=MQ
3x+5=x+17
-x -x
___________
2x+5=17
-5 -5
__________
2x=12
__ __
2x 2x
the answer is x=6
The angles 3x + 5 and x + 17 are opposite by the vertex, so they are the same.
3x + 5 = x + 17
3x - x = 17 - 5
2x = 12
\(x = \frac{12}{2}\)
\(\boxed{\boxed{x = 6}}\end{array}}\qquad\quad\checkmark\)