c. m∡1 = 36°; m∡2 = 72°; m∡3 = 18°
In a regular decagon, each angle measures (n-2) x 180° / n, where n is the number of sides, which in this case is 10.
So, each angle measures (10-2) x 180° / 10 = 144° / 10 = 14.4°
Angle 1 is the first angle, so it measures 1 x 14.4° = 14.4°
Angle 2 is the third angle, so it measures 3 x 14.4° = 43.2°
Angle 3 is the fifth angle, so it measures 5 x 14.4° = 72°
Therefore, the answer is c. m∡1 = 36°; m∡2 = 72°; m∡3 = 18°.
Given the regular decagon, what is the measure of each numbered angle?
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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°
1 answer
1 answer