Dr Nick

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About Dr Nick

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Teaching Since: May 2017
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  • MBA (IT), PHD
    Kaplan University
    Apr-2009 - Mar-2014

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  • Professor
    University of Santo Tomas
    Aug-2006 - Present

Category > Geometry Posted 30 Oct 2017 My Price 12.00

A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have?

 

 

We need to be able to calculate this, without having to consider the size of the exterior and interior angles of all the different polygons.

Let the size of an exterior angle be x°

The size of the interior angle is therefore 5x°

An exterior and interior angle are supplementary angles.

 

x°+5x°=180°⇒6x=180°

 

x=30°

This is size of each exterior angle (ext∠

)

 

The sum of the exterior angles is 360°

 

Number of sides (or angles) = 360ext∠

36030=12 sides

Answers

Dr Nick
(4)
Status NEW Posted 30 Oct 2017 01:10 PM My Price 12.00

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