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.

The given statement can be justify by using angle inscribed theorem. The angle inscribed theorem define as the angle inscribed in a circle is half of the center angle which subtends same arc of the circle.

Given:

Angle inscribed theorem

As per the inscribed angle theorem angle inscribed in a circle is half of the center angle so the angle would be or .

In geometry right angle is

Thus, the second corollary, that an angle inscribed in a semicircle is a right angle.

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