ItsYourShreya
ItsYourShreya ItsYourShreya
  • 03-02-2022
  • Mathematics
contestada

One interior angle of a regular polygon is 175 degrees. What is the measure of one exterior angle?​

Respuesta :

akposevictor
akposevictor akposevictor
  • 16-03-2022

The exterior angle of the regular polygon is: 5°

What is an Interior Angle of a Regular Polygon?

Each interior angle of a regular polygon = (n - 2)180/n

Given:

interior angle = 175°

Thus:

175 = (n - 2)180/n

175n = 180n - 360

175n - 180n = -360

-5n = -360

n = 72

Thus,

Measure of one exterior angle = 360/72 = 5°

Learn more about interior angle of regular polygon on:

https://brainly.com/question/1592456

Answer Link

Otras preguntas

Carolina es una amiga muy
25 points What food becomes almost impossible for the annex residents (and most of the Dutch) to obtain? (A) fresh vegetables (B) meat (C) potatoes
An exceptional media response essay must include?
Which of the following is NOT a Trig identity?
A ________ is a written order from a court directing law enforcement officers to conduct a search or to arrest a person.
Someone please help me?
what is the surface area of a sphere r=10cm
The surface areas of two similar figures are 4 in2 and 9 in2. If the volume of the larger figure is 216 in3, what is the volume of the smaller figure?
The four stages of piaget's cognitive development model are _____. a. assimilation, accommodation, adaptation, and association b. sensory, motor, operational, a
Hey can you please help me posted picture of question