Question

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Question: The measures of the exterior angles of a polygon are x°, 2x°, 120°, 3x°, 18°, and 120°. What is the value of x?
A. 120
B. 360
C. 77
D. 17

Answer 1

9514 1404 393

Answer:

D. 17

Explanation:

The sum of the exterior angles of a polygon is 360°.

x° +2x° +120° +3x° +18° +120° = 360°

6x +258 = 360 . . . . . . . collect terms, divide by °

6x = 102 . . . . . . . . . subtract 258

x = 17 . . . . . . . . divide by 6