1400500Danielly
1400500Danielly 1400500Danielly
  • 22-02-2017
  • Mathematics
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A regular polygon has 20 sides. What is the measure of 1 interior angle

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jdoe0001 jdoe0001
  • 22-02-2017
[tex]\bf \textit{sum of interior angles of a polygon}\\\\ n\theta=180(n-2)\qquad \begin{cases} n=\textit{number of sides}\\ \theta=\textit{internal angle}\\ --------------\\ n=20 \end{cases} \\\\\\ thus\implies 20\cdot \theta=180(20-2)\implies 20\cdot \theta=3240 \\\\\\ \theta=\cfrac{3240}{20}[/tex]
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Olivia129
Olivia129 Olivia129
  • 22-02-2017
1 interior angle
= [ ( n-2 ) x 180° ] ÷ 20
=[( 20-2 ) x 180°]÷ 20
= 162°
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