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The exterior angles of a Pentagon are x°, 2x°, 3x°, 4x°. What's the size of the biggest angle?
Eunice Biney
Feb 19
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#mathematics
#geometry
#angles
The exterior angles of a Pentagon are x°, 2x°, 3x°, 4x°. What's the size of the biggest angle?
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Feb 19
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The sum of the exterior angles of any polygon is always 360 degrees.
So, x + 2x + 3x + 4x = 360
10x = 360
x = 36
The largest angle is 4x, so the largest angle is 4(36) = 144 degrees.
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