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2 years ago

Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle.

Mathematics

1 answer:

ruslelena [56]2 years ago

4 0

Answer:

∠5 = 60°

∠6 = 30°

∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

∠5 = 60°

∠6 = 30°

∠7 = 120°

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Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle. ​

Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle.