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

What is the Law of Conservation of energy?
* 9. Two fifths of what number is 120? 2/5
Explain the importance of the sequence of nitrogen based on a gene to heredity
At high speeds, you should start to signal __________ before you turn.
Match the vocab word with the correct definition. 1. slope formula a function in which every x-value has exactly one y-value; the average rate of change betwee
Where does the second, major part of cellular respiration take place? Check all that are true. in the cytoplasm of heterotroph cells in the chloroplasts of hete
1) Solve for a. Show your work. 5(6.2a + 9.8) = 18
write an equation perpendicular to y=1/5 x+9 that passes through the point (-2,-2)
please show the working out as well x
7 + (10 − 4)2 ÷ 4 × 1\8