jaydenlurz
jaydenlurz jaydenlurz
  • 21-02-2020
  • Mathematics
contestada

If an interior angle of a regular polygon measures 144° how many sides does the polygon have

Respuesta :

Kazeemsodikisola
Kazeemsodikisola Kazeemsodikisola
  • 21-02-2020

Answer:

Step-by-step explanation:

The interior angle of a polygon is given by

(n-2)×180

or for regular polygon n × each interior angle.

Therefore since it is a regular polygon

Given than interior angle is 144

Then,

(n-2)×180=n× interior angle

180n-360=144n

180n-144n=360

36n=360

Then, n=360/36

n=10

Then the polygon has 10_sides which is a decagon.

Answer Link

Otras preguntas

Use the diagram below to answer question, if QR = 6x + 1, PR = 14x – 13, and 1 point PQ = 5x – 2, find PR. (Utilice el diagrama siguiente para responder a la pr
F(n)=2n-2 G(n)=n+5 Find(f-g)(6)
Read this excerpt from Franklin's Autobiography and answer the question that follows. Then I walked up the street, gazing about till near the market-house I met
WHAT IS THE CORRECT ANSWERR?????NEED HELP ASAP
What is a great answer for 5 plus negative 4
what is the volume of trangular prism in cubic centimeters
Pls help me pls pls
PLEASE ANSWER I NEED HELP For the first time, delegates from differing colonies met to engage in a spirited debate. Which option is the BEST definition of the w
ill give brainlyest !!!!! -1 1/3 - 1/6
Compare the properties of water at room temperature with water that has a temperature greater than 100°C.