Seudónimo Seudónimo
  • 05-01-2022
  • Mathematics
contestada

The diagram shows a convex polygon.
1410
2y
у
140°
1390
What is the value of y?
O
y =

The diagram shows a convex polygon 1410 2y у 140 1390 What is the value of y O y class=

Respuesta :

jdoe0001 jdoe0001
  • 05-01-2022

[tex]\textit{sum of all interior angles in a polygon}\\\\ S=180(n-2) \begin{cases} n = \stackrel{\textit{number of}}{\textit{sides}}\\[-0.5em] \hrulefill\\ n = 5 \end{cases}\implies S = 180(5 - 2)\implies S = 540 \\\\[-0.35em] ~\dotfill\\\\ y+141+2y+140+139=540\implies 3y+420=540 \\\\\\ 3y=120\implies y = \cfrac{120}{3}\implies \boxed{y = 40}[/tex]

Answer Link

Otras preguntas

solve the equation for C f=9/5c+32
How do you say "Some brown spiders"?
Are many valuable minerals found in or near areas of volcanic activity and mountain building?
In a short response of at least three complete sentences, define flash-forward and explain its effect on a traditional plot structure
two thirds of what number equals 436
find the slope of the line that contains (1,6) and (10, -9).
a town had about 2120 acres of pine trees 40 years ago. Only about 13% of the pine trees remain. How many acres of pine trees remain
Use the information to find the length of CD in parallelogram ABCD. The perimeter is 92 cm. AD is 7 cm more than twice AB. (Hint: Sketch the diagram.)
which channel is the most popular one for the evening news A. WANR B. WWCN C. WCLM D. WKOD
what is the difference between concealed and revealed propaganda