SOLUTION: If a regular polygon has an ecterior angle of 18 degrees, how many sides would that polygon have?
and
If a regular polygon has an interior angle of 135 degrees, how many sid
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Question 14620: If a regular polygon has an ecterior angle of 18 degrees, how many sides would that polygon have?
and
If a regular polygon has an interior angle of 135 degrees, how many sides would that polygon have?
Please help me
Reanne
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The exterior angle of a regular polygon is the supplement of its interior angle.
The interior angle of a regular polygon is given by:
where: n is the number of sides of the regular polygon.
1) You can write:
simplify and solve for n, the number of sides.
Multiply both sides by n
Divide both sides by 18.
sides.
2) Use the formula for the interior angle of a regular polygon.
Simplify and solve for n.
Multiply both sides by n
Add 360 to both sides.
Subtract 135n from both sides.
Divide both sides by 45
sides.
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