Answer:
x = 64
Step-by-step explanation:
In this situation, we can use one of the theorems associated with an altitude in a right triangle. We can say:
36(x + 36) = 60^2
36x + 1296 = 3600
36x = 2304
60 + (36 + x) + r = 180
180 - 60 = 120
120 = ( 36 + x) + r
(36 + x) = 100
100 - 36 = 64
120 - 100 = 20
r = 20
