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zhenek [66]
2 years ago
14

Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have?.

Mathematics
1 answer:
zlopas [31]2 years ago
8 0
<h3>Answer:  20 sides</h3>

Work Shown:

E = exterior angle = 18 degrees

n = number of sides of a regular polygon

n = 360/E

n = 360/18

n = 20

This is a 20 sided regular polygon. It is considered a regular icosagon.

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We are asked to solve for: "6t" ; which is: "6 * t" .
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Given:  3t − 7 = 5t ;  Solve for "t" ; then solve for "6t" ;

     3t − 7 = 5t ;   Subtract "3t" from each side of the equation;
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    3t − 7 − 3t  =  5t − 3t ;

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Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;

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4 years ago
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