Mathematics: One interior angle of a regular pentagon measures (4X + 8) degrees. Find X.

One interior angle of a regular pentagon measures

Ответ:

dm21930

20.01.2022

Step-by-step explanation:

In order to find the value of the interior angle of a regular polygon, the equation is ((n−2)180)/n where n is the number of sides of the regular polygon.

For pentagon, it's has five sides

The formula is ((n−2)180)/n

((5−2)180)/5 = 3 ×180/5 = 540/5 = 108

Since from the question one interior angle measures (4X + 8)

so 4x+8= 108

4x = 108-8 = 100

x = 100/4 =25

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Ответ:

FriendlyDude640

20.09.2020

Mathematics

$\bf \textit{Cofunction Identities} \\\\ tan\left(90^o-\theta\right)=cot(\theta)\qquad cot\left(90^o-\theta\right)=tan(\theta)\\\\ -------------------------------\\\\ tan(76^o)\implies tan(90^o-14^o)\implies cot(14^o)\implies \cfrac{1}{tan(14^o)} \\\\\\ \cfrac{\quad 1\quad }{\frac{1}{4}}\implies \cfrac{1}{1}\cdot \cfrac{4}{1}\implies 4$

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One interior angle of a regular pentagon measures (4X + 8) degrees. Find X.

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