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

a sperm cell is a (gamete zygote) and is (haploid diploid)
Explain how to dis easy explanation pls
Below are three different governmental scenarios. Below each scenario, indicate which branch of government you think this scenario pertains to and why. 1. Nev
What happens when HIV causes AIDS? A.Enough helper T cells have died that they cannot activate the immune response. B. An HIV-infected mother gives birth to her
12x+10y= -60 What is the slope ?
Which characteristic is missing from the table?
Please complete the assignment in the PDF document
complex fraction 1/9 and 2/7 simplified or something
Part B: Write a rule for determining the sign of the product when multiply negative integer ​
How did World War Il change the global balance of power? A. It helped Asia become the central world power because of the war's limited effect on the region. B.