Pawan starts from his home at a point A. then he travels in a path and reaches again A at the end. First, he takes a path of decagon(a polygon of 10 sides) and later he takes a path of a pentagon as shown in the figure. At each turn in the path, he has to rotate some angle from his path as shown below. In which case, does he rotate more angle overall(starting from A reaching again A)?
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Pawan will rotate at a greater angle if he travels in a Pentagon. Because sum of angles of any polygon of 4 or more sides is 360 degrees.
Pentagon has 5 angles and decagon, 10. Measure of angles of regular Pentagon will be 72 degrees and measure of angle of regular decagon will be 36 degrees.
Hence, the answer is pentagon
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