A regular decagon with exterior angle 1 is shown.

Mathematics

1 answer:

vova2212 [387]2 years ago

8 0

Answer:

∠1 = 36°

Step-by-step explanation:

All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

<h3>Exterior angles</h3>

The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...

10(∠1) = 360°

∠1 = 36° . . . . . . . . divide by 10

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