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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-example-1

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


(540)/(5)=108^(\circ)

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

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