In a circle with a radius of 6 cm, the inscribed angle rests on an arc of 5p cm. Find the value of this angle.

The vertex of the inscribed angle lies on the circle, and the sides intersect the circle.
The inscribed angle is equal to half of the central angle resting on the same arc.
The central angle α = AOB is equal to:
α = L / r, where L = 5π is the length of the arc AB, r is the radius of the circle.
α = 5π / 6 radians.
Then the inscribed angle in radians is βrad = α / 2 = 5π / 12 radians.
In degrees, the inscribed angle is:
βº = βrad * (180º / π) = (5π / 12) * (180º / π) = 75º.