69.9k views
1 vote
Given the following polygon, find the sum of the interior angles and the value of x,
pls help

Given the following polygon, find the sum of the interior angles and the value of-example-1
User Tyheem
by
5.0k points

1 Answer

3 votes

Answer:

sum of interior angles - 540

x = 112

Explanation:

Hello There!

Geometry

The sum of the interior angles can be found using this formula

let x = sum of interior angles and n = number of sides

x = ( n - 2 ) * 180

there are 5 sides so we plug in 5 to n

5 - 2 = 3

3 * 180 = 540 so the sum of the interior angles is 540

Now to solve for x

Remember the sum of the interior angles is 540 so we use this equation to solve for x

Simple Algebra

540 = x + 118 + 105 + 75 + 130

step 1 combine like terms

118 + 105 + 75 + 130 = 428

now we have 540 = 428 + x

step 2 subtract 428 from each side

540 - 428 = 112

we're left with x = 112

User Jstedfast
by
4.9k points