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

I have 4 factors. Three of them 1,2 and 10. What is my fourth factor?
What are the three types of power a government may exercise?
Why did Austria Hungary seek German support before invading Bosnia?
-3/5x+y=-4 What is the slope-intercept form? I'm in 7th grade.
max scored 9 runs on Monday and 11 runs on Tuesday. How many runs did he score in all?
Cotton gins: Select one: a. Flattened cotton b. Cut cotton from the ground c. Removed seeds from cotton d. Planted cotton seeds
What is the importance of membrane structure and function in the organization of living processes within cells.
whats the complete subject for the below 1.Do spider have six legs or eight legs? 2. listen to the directions. 3.the man in the tall hat is a magician. 4.is t
can someone describe the process of meiosis?
Were the colonists protest successful