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# question

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+418

what is the interior and exterior angles of a 21-agon

ZZZZZZ  Nov 2, 2017
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#1
+5258
+2

The sum of all the interior angles  =  180° * (21 - 2)  =  3420°

If this is a regular polygon, then all of  21  the interior angles have the same measure.

So   the measure of each interior angle   =   3420° / 21   ≈   162.86°

And the measure of each exterior angle  ≈  180° - 162.86°  =  17.14°

hectictar  Nov 2, 2017
#2
+418
+1

thanks!

:)

ZZZZZZ  Nov 2, 2017
#3
+18715
+2

what is the interior and exterior angles of a 21-agon

exterior angle \(= \dfrac{360^{\circ}}{21} = 17.1428571429^{\circ}\)

interior angle \( = 180^{\circ} -\) exterior angle \( = 180^{\circ} -17.1428571429^{\circ} = 162.857142857^{\circ}\)

heureka  Nov 3, 2017

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