how many sides does a regular polygon have where in whose interior angle is 8 times its exterior angle
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Let the exterior angle have measure "x";
The interior angle has measure
"8x".
EQUATION:x + 8x = 180 9x = 180 x = 20 degrees (measure of one of the exterior angles.
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Fact: The sume of the exterior angles of a polygon is 360 degrees.
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EQUATION: # of sides = 360/20 = 18 sides =====================
Let the exterior angle have measure "x";
The interior angle has measure
"8x".
EQUATION:x + 8x = 180 9x = 180 x = 20 degrees (measure of one of the exterior angles.
--------------
Fact: The sume of the exterior angles of a polygon is 360 degrees.
--------------
EQUATION: # of sides = 360/20 = 18 sides =====================
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