aldrin44738 aldrin44738
  • 20-05-2022
  • Mathematics
contestada

find the number of sides of a regular polygon whose each interior angle is of 135 degrees

Respuesta :

jimrgrant1 jimrgrant1
  • 20-05-2022

Answer:

8 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 135° = 180° ( subtract 135° from both sides )

exterior angle = 45°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then number of sides n is

n = 360° ÷ 45÷ = 8

Answer Link

Otras preguntas

how do u solve this problem? 4n+32=5n
What term refers to a speakers use of emotion ,logic and ethics to influence an audience?
Explain how inertia and the shape of a loop counteract the force of gravity to keep riders from falling out when a roller coaster goes through a loop traveling
A rectangle an an area of 30 square meters anda has dimensionsperimeter of 34 meters. What are the of the rectangle
In a private company’s accounting system, inputs are what?
what resources did the rivers provide to the early settlers in China
how do I solve the proportion x+1/3 = x+5/x
What was the reason for the fall of communism in the Soviet Union
What is symbolism? A.) when a literary work has two levels of meaning. B.) when an idea in a literary work is played down or treated casually. C.) when a state
the use of wells to obtain drinking water is a modern convenience