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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.

Respuesta :

Hagrid
Prove:

The angle inscribed in a semicircle is a right angle. 

The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and 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 [tex]180^{\circ}[/tex] or [tex]90^{\circ}[/tex].

In geometry right angle is [tex]90^{\circ}[/tex]

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

Learn more about Angle inscribed theorem here:

https://brainly.com/question/23902018

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