smartbrain90 smartbrain90
  • 17-03-2020
  • Mathematics
contestada

The sum of the interior angles of a polygon is
26 right angles. How many sides does the polygon have?
A 45 B 35 C 25 D15 E5​

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-03-2020

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

[tex](n - 2) \times 180[/tex]

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

[tex](n - 2) \times 180 = 26 \times 90[/tex]

Divide through by 90

[tex]2(n - 2) = 26[/tex]

Divide through by 2

[tex]n - 2 = 13[/tex]

[tex]n = 13 + 2[/tex]

[tex]n = 15[/tex]

Answer Link

Otras preguntas

Which one would it be?
What two major events brought the US into World War I in 1917?
Find the product of each sum and difference. (21+9)(21-9)
A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time
Can somebody help me on this one?
Plzzz help me! I will do anything ;) How many molecules are there in 45g of caffeine
What is Oxygen an example of?? 1,2,3 or 4? 1.plasma. 2.gas. 3.liquid. 4. solid.
What is the function of ATP? *
How do you know that the right triangles are the bases of the prism
which of the following was a direct effect of the oil industry in Texas? A The Great Depression didn't slow down the growth rate of the automobile industry. B R