11doctor 11doctor
  • 01-08-2018
  • Mathematics
contestada

A polygon has an angle sum of 360 and each angle measures 90 what is the polygon

Respuesta :

Riia
Riia Riia
  • 01-08-2018

Here we have to use the sum of angles of a polygon formula which is

S=(n-2)180

Here S=360 and n is unknown, so on substituting the value of S, we will get

360 = (n-2)180

Dividing both sides by 180

2 = n -2

Adding 2 to both sides

n=4

So it must be a quadrilateral with all equal sides. But each angle is 90 degree. THerefore the polygon is a square .

Answer Link

Otras preguntas

Are older vehicles better made than newer vehicles? (Explain)
figure A is a scale image of figure B The scale factor is 0.25 what is the value of X? (see picture)
what tone should a formal letter always have?
_________ willing to help us with the project on Wednesday.
Which of these is most likely to change your purpose for reading and make you more interested in what you're doing? A. Taking a test on the reading B. Keeping a
Find the measure of x. 10 х 20° x = [? ] Round your answer to the nearest hundredth.
can someone help me?
Romeo had pound of fudge left. He divided the remaining fudge into -pound 5 16 bags. Write and solve an equation that models the situation. Then interpret the Q
What conclusions have you reached about Silas’s true identity, in the graveyard book
what are neglible weights. Definition? ​