Question

Explain how you can use the inscribed angle theorem to

justify its second corollary, that an angle inscribed in a
semicircle is a right angle.

Answer 1

A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.

Explanation:

Answer 2

Explanation:

Considering the inscribed angle theorem which explain that when an angle let say angle θ is inscribed in to a complete circle,then the angle is half of the central angle of the same circle, since the total angle of a circle is 360 degrees while a semi circle is180 degrees.

If the circle is not a full circle but a semi circle then the angle inscribed will be half of 180 , then 90 degrees at right angle.