Answer: 124°
Step-by-step explanation: Notice that angles CPF and RPB are vertical <'s.
Vertical angles are two angles that share a common
endpoint and whose sides form opposite rays.
Since these angles have the same measure,
we can setup the equation 4t + 88 = 2t + 72.
Now subtract 2t from both sides and we have 2t + 88 = 72.
Now subtract 88 from both sides to get 2t = -16.
Solving from here, we find that t = -8.
Now notice that <FPB is a straight angle which
means that it measures exactly 180 degrees.
So let's substitute a 4 into the measure of angle CPF.
So we have 4(-8) + 88 or -32 + 88 which is 56°.
Since FPC and CPB are a linear pair, we know that are supplementary.
If two angles are supplementary, then the sum of their measures is 180 degrees which means we take 180 minus the measure of <CPF.
So we have 180 - 56 which is 124°.
Now since <CPB and <FPR are vertical angles
So<FPR must also measure 124°