The magnitude of the arc between two chords of the circle = 46 degrees.
| March 15, 2021 | education
The magnitude of the arc between two chords of the circle = 46 degrees. Find the degree measure of the inscribed angle resting on this arc.
Let AB and BC be the chords of the circle, the arc between the chords AB and BC – the arc AC = 46 degrees.
The inscribed angle is equal to half the degree measure of the arc on which it rests. Then:
angle ABC = arc AC / 2;
angle ABC = 46/2;
angle ABC = 23 degrees.
Answer: angle ABC = 23 degrees.
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