wheelerkelis wheelerkelis
  • 10-06-2022
  • Mathematics
contestada

The sum of the measures of the interior angles in a convex polygon is 1,260°. How many sides does the polygon have?

Respuesta :

Justaro
Justaro Justaro
  • 10-06-2022
The formula for working out the total interior is:

180(n-2) = 1260

So let’s rearrange by dividing both sides by 180 and find what n is:

n-2 = 7

Then let’s add 2 to both sides to find what n is:

n=9

Each interior angle is 1260/9 = 140°.
The sum of the interior angle and its corresponding exterior angle is 180°.

Therefore, the polygon has 9 sides. :)

Answer Link

Otras preguntas

what quadrilateral is this​
Research on scarcity and attraction suggests that as availability _____, perceived attractiveness _____.
Complete the table of values and sketch the graph of y = -3(2) x
Pls Help As Quick As Possible
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV. What will b
2. Summarize how the force of gravity factors into at least three processes in the formation of stars. SC.8.E.5.4
Ariana GroundedAriana Ground BeefAriana Ground floorAriana CrawlingAriana ________​
What caused the death of most Native Americans?
What is the period of a water wave with a frequency of 0.5 Hz?
The profit y on the number x of items a store sells is represented by the rule y = 2x - 1. What does a table of values for the function rule and the graph of th
good job