Question

The interior angle of a regular is 5 times the exterior angle.calculate
(i) each interior angle
(ii) the number of sides of the polygon

Answer 1

Answer:

Number of sides is 12.

Sum of interior angle and exterior angle of a polygon is 180 degree.

Let exterior angle is x.

Interior angle is 5x.

x + 5x = 180°

x=30°

Sum of all exterior angles of a polygon is 360 degree

So n X x = 360°

n = 360°/30°

n=12

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Answer 2

The+interior+angle+of+a+regular+is+5+times+the+exterior+angle.calculate.+++++Each+interior+angle.++++The+number+of+sides+of+the+polygon

If each interior angle of a polygon is five times the exterior ... The interior and exterior angles of a regular polygon are supplementary. If the exterior angle is x, the interior angle is 5x. Now x+5x = 6x = 180 or x = 30. So the number of sides in the polygon are 360/30 = 12.