Find the inscribed angle resting on an arc that is 5/9 of the circle.
| April 8, 2021 | education
An inscribed angle is an angle whose apex is located on a circle, and the sides intersect that circle.
The value of the inscribed angle is equal to half the size of the arc on which it rests:
∠ABС = ½ ∪AC.
A circle is a closed planar curve made up of all points equidistant from the center.
Since the total size of the circle is 360 °, and the arc on which the inscribed angle rests is 5/9 of the circle, then:
∪AC = 360 ° 5/9 = 200 °.
∠ABС = ½ · 200 ° = 100 °.
Answer: the degree measure of the inscribed angle is 100 °.
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