Find an inscribed angle that rests on an arc that is 25% of the circle.
| April 10, 2021 | education
An inscribed angle is an angle whose vertex lies on a circle and its sides intersect it.
The degree measure of the inscribed angle is equal to half the degree measure of the arc on which it rests:
∠ABS = ½ ∪AC.
Since the degree measure of the circle is 360 °, and the arc on which the inscribed angle rests is equal to 25% of the circle, then:
∪AC = 360 ° 0.25 = 90 °.
∠ABS = ½ · 90 ° = 45 °.
Answer: the degree measure of the inscribed angle is 45 °.
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