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Answer :
The maximum number of interior angles of a convex polygon would be 7.
Imagine operating a small vehicle on a track with a polygonal shape. Your compass is handy (directional, not one for drawing circles). The automobile concludes the lap in the same direction as it began. If there was a compass, it has completed one full rotation.
180 - 131 = 49°
360/49 = 7.346938775510204
So 7 interior angles max
A convex polygon's outside angles add up to 360 degrees.
131 degrees for the inside angles and 49 degrees for the outside angles. The vehicle is capable of seven rotations at 49 degrees and one turn at 17 degrees, for a total of 360 degrees in one lap.
Learn more about convex polygons here:
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The question is wrong the correction:
Alex thinks 131 degrees are neat. What is the maximum number of interior angles of a convex n-gon that can measure 131 degrees?
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