Question

Given the following polygon, find the sum of the interior angles and the value of x,
pls help

Answer 1

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