7
QuizMultiple Choice

Angle Measures of Polygons

Question 7 • *STPSB_Geometry 2627 Treigle

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?

Answer
x
x = 8
x
x = 10
x
x = 13
x
x = 18

Explanation

The exterior angles of any polygon add up to 360°. A regular decagon has 10 equal exterior angles, so each measures 360° ÷ 10 = 36°. Set 3x + 6 = 36, then subtract 6 and divide by 3 to get x = 10. The correct choice is B, x = 10.

AI-written and checked against the verified answer.

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