Question

Prove that the measure of an inscribed angle is half of the measure of

the arc intercepted by it.​

Answer 1

Answer:

Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure. ... Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees.