Answer:
Step-by-step explanation:
Recall that the angle formed by two tangents is half the difference of the intercepted arc.
[tex]13x+10=\frac{1}{2}(49x+10-(180-13x-10))[/tex]
Multiply through by 2 to get:
26x+20=49x+10-180+13x+10
Group similar terms to get:
26x-13x-49x=10-180+10-20
-36x=-180
x=5
[tex]m\angle PQR=13(5)+10=75[/tex]
