AubrynnR490531 AubrynnR490531
  • 04-11-2022
  • Mathematics
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Regular pentagon ABCDEF in circle P. What is the measure of

Regular pentagon ABCDEF in circle P What is the measure of class=

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PiusH362709 PiusH362709
  • 04-11-2022

The sum of angles in a pentagon is 540°. This means that for a regular pentagon, each angle is given as

[tex]\frac{540}{5}=108^{\circ}[/tex]

Observe ΔABC,

ΔABC is an isosceles triangle given lines AB and BC are equal sides of the regular pentagon.

Therefore, summing up the angles in ΔABC,

[tex]\begin{gathered} But

Thus,

Inputting value of

108 + 2(2

Answer Link

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