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

Which additional words in the sentence should be capitalized? Robert e. lee is one of the most famous generals of the civil war. Choose all answers that are cor
How did the Sherman Antitrust Act restrict monopolies?
Abolished indentured servitude and slavery in the United States
Am artist build a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal, and the rat is wood. How much does the wood part of th
what's did American indians gained from American Indian
1/3 square root of 343
Producers use energy from the sun to create what?
Which of the following is a nonrenewable resource? a. hydropower b. biomass c. geothermal power d. coal
What's 0.81 written as a fraction
AP US History question: 1968 was a turning point for the United States. To what extent is this an accurate assessment? In your answer, discuss TWO of the follow