Final answer:
To find the measure of arc SR intercepted by angle P, which is 36°, in circle Q, we double the angle's measure since an inscribed angle is half the measure of its intercepted arc. Thus, arc SR measures 72°. Therefore, the correct option is b.
Step-by-step explanation:
The problem involves finding the measure of an arc in a circle given the measure of an inscribed angle. The key relationship between an inscribed angle and its intercepted arc in a circle is that the inscribed angle is exactly half the measure of the intercepted arc. This is a fundamental concept in circle geometry.
Since the measure of angle P is given as 36° and angle P is an inscribed angle that intercepts arc SR, we can determine the measure of arc SR by doubling the measure of angle P. The calculation is simply 36° × 2 = 72°. Therefore, the measure of the arc SR in circle Q is 72°, which corresponds to option b.