majesticmelonking
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Given the regular decagon, what is the measure of each numbered angle? A. m∡1 = 72°; m∡2 = 18°; m∡3 = 36° B. m∡1 = 18°; m∡2 = 36°; m∡3 = 72° C. m∡1 = 36°; m∡2 = 72°; m∡3 = 18° D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Given the regular decagon what is the measure of each numbered angle A m1 72 m2 18 m3 36 B m1 18 m2 36 m3 72 C m1 36 m2 72 m3 18 D m1 36 m2 18 m3 72 class=

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sqdancefan

Answer:

  D.  m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Step-by-step explanation:

The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.

Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.

Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.
D is the answer I think

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