Question

prove that inscribed angle is half the central angle​

Answer 1

Answer:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Step-by-step explanation:

Answer 2

Answer:

proof:

The measure of each inscribed angle is exactly half the 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.