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

evaluate -a.   a=2.2  need help
What number is 10,000 less than 337,676?
-2m + 4m + 5 = -3 Tell me what you did please!
What is the lcm of two numbers that have no common factors greater than 1?
what is the complete subject in the following sentence? the young boy rode the bus to school.
a mulberry silk worm can spit a single thread the measure up to 3,900 ft in length. write the number in scientific notation?
tina bought some nail polish and lip gloss at the store. the nail polish cost $4.50 per bottle and lip gloss cost $7 per tube. tina bought 9 items and paid $50.
change 0.025 , 0.00003 , 0.00197 to scientific notation
what is 24 ten thousands
a number is k units to the left of 0 on the number line. describe the location of its opposite.