The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
<h3>What is triangle angle sum theorem?</h3>According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In the image attached below:
- Angle C is inscribed in circle O.
- AB is a diameter of circle O.
The measure of the angle A is,
The measure of the angle C in a semicircle is,
The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,
Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
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