Use this regular pentagon to answer the questions. A regular pentagon with center point A is shown. Line are drawn from each point to center point A. Triangle A B C is formed. What is the measure of one of the central angles in the regular pentagon? ° What is the measure of one of the congruent base angles in triangle ABC? °

Respuesta :

Answer:If the questions consits of 36, 54, 72, and 108 it goes as 72 then 54

Step-by-step explanation:

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The measure of one of the congruent base angles in triangle ABC is 54degree.

What is the pentagoan?

A pentagon has five sides.

Therefore, we determine each of the central angles by dividing the given sum (360°) by 5.

[tex]=\frac{360}{5} =72^0[/tex]

This gives us the answer of 72 degree.

We let x be the congruent angles in the base and noting that the sum of the internal angles of the triangle is 180 degree,

we have the equation,

[tex]72 + x + x = 180^0[/tex]

[tex]2x=180-72\\2x=108\\x=\frac{180}{2} \\x=54^0[/tex]

The value of x from the equation is 54degree.

To learn more about the central angle visit:

https://brainly.com/question/11877137