Solution
For this case we can see that < XQL and < MQR are opposed by the vertex so then are equal
And if we set up equal the measures given we got:
-12x+133= 3x+79
Now we can solve for x. We can add 12x in both sides of the equation and we got:
133= 15x+79
Now we can subtract both sides of the equation 79 and we got:
54= 15x
And finally we got:
x= 54/15= 3.6º
Now we can find the angle < MQR replacing the value of x like this:
