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

True or False. Public opinion is how the masses (people) feel about what is going on?
Why are checks and balances and separation of powers important? A They make the government more efficient. B They make the government more powerful. C They limi
equation of a line that has a slope of -2 and passes through the point (-1,4)
What action did the United stars take when world war 1 began in 1914? A) it declared its neutrality B) it refused to trade with either side C) it joined allie
which equation is represented by the phrase a number increased by 3 equals 10 ​
Help please I’ll give brainliest
CAN SOMEONE HELP ME PLEASE!!!! What attack sparked the Civil War? Which side attacked the fort?
I need help with this, I’ll give brainliest!
A 1,300 kg car moving at 20 m/s and a 900 kg car moving at 15 m/a in precisely opposite directions crash head on. If we consider this event to be a perfectly in
Write three sentences using the imperfect tense for each of the following verbs.