hrideshbhunjun17
hrideshbhunjun17 hrideshbhunjun17
  • 02-06-2020
  • Mathematics
contestada

An exterior angle of a regular polygon is 72°.
(i) what is the size of each interior angle of the polygon?
(ii) Find the number of sides of the polygon.

Respuesta :

TheLazyNobita
TheLazyNobita TheLazyNobita
  • 02-06-2020

Answer:

Exterior angle = 72⁰

As polygon is regular , each interior angle = 180⁰ - 72⁰ = 108⁰

Number of sides :

As the sum of exterior angles is 360⁰ :

n × 72⁰ = 360⁰

n = 360/72 = 5

Answer Link
dhshshshsb dhshshshsb
  • 02-06-2020
The answer is 5
.....
Answer Link

Otras preguntas

Expand and evaluate the series n=5 ai=2×i^2+3
Laws in the physical world are grounded in the relationship between physical proximity and the ____ of a person's behavior.
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation i
What is the term for the written explanation of why some judges disagree with the Supreme Court's decision?
A benefit of using good human relations is that you will
Which of the following is NOT a name of one of the central features of Facebook?
Which one of the following indicates a file's format? A. Driver B. Extension C. Icon D. Platform
what is the 8th term of the geometric sequence 4, −20, 100, …?
An active student injured his knee playing basketball and has been advised by his doctor to avoid impact activities that cause heavy force on his bones. What is
which of the following is a dependent clause ?