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64. The sum of interior angles of regular polygon is thrice the sum of its exterior angle. The polygon is a. hexagon c. decagon b. octagon d. nonagon​

Answer»

Answer:

HEXAGON

Step-by-step explanation:

Sum of the EXTERIOR angle of a polygon = <klux>360</klux>^{0}

Sum of the INTERIOR angle of a polygon = <klux>120</klux>^{0}

If in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.



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