Triangle ABC is inscribed in a circle centered at point O Find the degree measure
| January 31, 2021 | education
Triangle ABC is inscribed in a circle centered at point O Find the degree measure of the angle C of triangle ABC if the angle B is 48 degrees.
An inscribed triangle is a triangle with all its vertices lying on a circle. Then the circle will be called circumscribed around the triangle.
AOB corner is center if the sides of these corners meet at the same points that belong to the circle. The central angle is equal to the arc on which it rests, therefore equal to 48 degrees.
The degree measure of the inscribed angle C will be equal to half of the central angle.
Angle C = 1/2 angle AOB = 48: 2 = 24 degrees.
Answer: angle C = 24 degrees.
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