Adebisidaniel
Adebisidaniel Adebisidaniel
  • 04-01-2022
  • Mathematics
contestada

one interior angle of an hexagon is 170°, and each of the remaining interior angles is equal to y° ,find the value of y.​

Respuesta :

zstardragon321 zstardragon321
  • 04-01-2022

Answer:

y = 110

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon with n sides is: (n-2) x 180 degrees. A hexagon has 6 sides, so if we plug this value into the equation, we get (6-2) x 180 = 4 x 180 = 720 degrees. Since we have one angle which is 170 degrees and the other five angles are the same (y), we can make the equation 170 + 5y = 720. We subtract 170 on both sides and get the equation 5y = 550. Dividing both sides by 5, we get y = 110, which is our answer.

Answer Link

Otras preguntas

Expressions. Simplify 2a + 8a
five less than a number is more than twenty
Is .38 greater or less than 3/10
In 1832, the United States Supreme Court ruled in Worcester v. Georgia that the state of Georgia had no right to force the Cherokee from their native lands. Why
How do you solve 216^x-1=6
Order of operations with fractions
Which enzyme is responsible for creating the covalent bonds that connect the sugar phosphate backbone of the new. DNA molecule?
A circle is divided into 6 equal sectors. Find the measure of the central angle of each sector. PLEASE HELP
Napoleon came to power by A. allying himself with France's allies. B. overthrowing the Directory by force. C. leading the nobles against the revolution. D. stor
Please solve X^2-14X+48=0 (any method works as long as you show work)