Answer:
measure angle FP is 62°
Step-by-step explanation:
The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:
m∠R = mFQ / 2
The arc FQ is the sum of the arcs FP and PQ, so we have:
mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67
Now, with the first equation, we have:
[tex]12x + 1 = (11x + 67) / 2\\\\24x + 2 = 11x + 67\\\\13x = 65\\\\x = 5^\circ[/tex]
So we have that mFP
[tex]= 11x + 7 \\\\= 55 + 7 \\\\= 62^\circ[/tex]
