Question

Inscribed Angles
if angles ABC measures 70 what does angles ADC measure?

Answer 1

35 degrees

Explanation:

Assuming B is the center of the circle, the measure of arc AC is 70 degrees since the measure of a central angle is equal to the measure of the arc it intercepts.

This means that by the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the arc it intercepts, the measure of the desired angle is 35 degrees.