samiatousif5 samiatousif5
  • 04-06-2019
  • Mathematics
contestada

A decagon has angles that measure 156°, 135°, 147°, 160°, 116°, 150°, 150.2°, 119.2°, 146.6°, and z. What is z?

Respuesta :

jdoe0001 jdoe0001
  • 04-06-2019

bearing in mind that the sum of all interior angles in a polygon is

180(n - 2)    n = number of sides in the polygon

a DECAgon, DECA=10, has 10 sides, and thus the sum of all its interior angles is 180(10 - 8) = 1440.

[tex]\bf 156+135+147+160+116+150+150.2+119.2+146.6+z=1440 \\\\\\ 1280+z=1440\implies z=1440-1280\implies z=160[/tex]

Answer Link

Otras preguntas

He did not have a leg to stand on what does that idiom mean?
how is the electoral college related to the president
What is the most recognized cause of the American Civil War?
Darren uses a family recipe to make hamburgers if he plans on using 1 1/3 cups of breadcrumbs about how many pounds of hamburger does Darren need to use to keep
How did China's early civilization differ from other river valley civilizations? Choose all answers that are correct.
A substance that accelerates the rate of a chemical reaction is called a(an) a. catalyst. b. lipid. c. molecule. d. element.
The perfect square integers between 1 and 80 inclusive
Gretchen and Mika are involved in a relay race. Both runners are at the same point on the course when Gretchen realizes that she dropped her baton and has to t
How does the book marley & me connect in any way to history or to literature? Does the character remind you of a famous person? Does the plot remind you of
What is the most recognized cause of the American Civil War?