ljsherwood42
ljsherwood42 ljsherwood42
  • 22-02-2022
  • Mathematics
contestada

Find the value of x if the figure is a regular polygon.

Find the value of x if the figure is a regular polygon class=

Respuesta :

jdoe0001 jdoe0001
  • 22-02-2022

taking a peek at this regular polygon hmm is has 6 sides, so is a hexagon, ok.

[tex]\textit{sum of all interior angles in regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies 6\theta =180(6-2) \\\\\\ 6\theta =180(4)\implies 6\theta =720\implies \theta =\cfrac{720}{6}\implies \boxed{x=\theta =120}[/tex]

Answer Link

Otras preguntas

What is 2+2x4x4 i need the answer fast.
Plz help! Why was fighting among colonists and American Indians particularly violent during the French and Indian War?
Which of the following is an example of Victorian photography? a Julia Margaret Cameron's Julia Jackson b Gustave Courbet's A Burial at Ornans c Jean-François M
By 1900, Minnesota women had full voting rights. True False
How to write the following expressions in expanded form for 4(x+y), 8(a+3b), 3(2x+11y), 9(7a+6b), c(3a+b), and y(2x+11z)
21/8 converted into a mixed number equals
All plants reproduce several times before dying. a. True b. False
Roscoe has a circular carpet in his office. She wants to put a circular table in middle of the carpet. The diameter of the carpet is 24 meters and the diameter
what do bacteria have surronding their cell membrane
electrons are located at fixed distances from the nucleus called