kimbergarciape1660 kimbergarciape1660
  • 22-07-2022
  • Mathematics
contestada

The measure of each exterior angle of a regular polygon is $30$ degrees. What is the sum of the measures of the interior angles, in degrees

Respuesta :

Medunno13
Medunno13 Medunno13
  • 22-07-2022

Answer: 1800

Step-by-step explanation:

Exterior angles of a polygon add to 360 degrees, so this means the polygon has 12 sides.

We also know that since an interior angle and its corresponding exterior angle are supplementary, each interior angle is 150 degrees.

Therefore, the sum of the measures of the interior angles is (150)(12)=1800 degrees.

Answer Link

Otras preguntas

Evaluate: xy - x (x - y^0) if x = 2 and y = -1/2
what is the speaker point of view in the poem in my mind by Kate engelbert?
Why was New Orleans “the one single spot” that made its possessor the “natural enemy” of the United States?
must EVERY member of a particular species (one kind of organism) be able to reproduce in order for the species to survive? Explain why or why not.
what is the definition of inhumane farming methods
How does genetic variation and mutation play a role in natural selection?
How do you work this out? need help asap
During what year was FIDE established?
Describe four real-life situations in which you might need to add or subtract decimals.
Which of the following were causes of the Civil War? Select all that apply. border disputes trade difficulties individual freedom competition for resources