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

sum of interior angles - 540

x = 112

Step-by-step 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

(1/(25^3×2))^(1/3)25^3 = 25×25^2: (1/(25×25^2×2))^(1/3)  | 2 | 5× | 2 | 51 | 2 | 55 | 0 | 06 | 2 | 5: (1/(25×625×2))^(1/3)25×625 = 15625: (1/(15625×2))^(1/3)15625×2 = 31250: (1/31250)^(1/3)(1/31250)^(1/3) = (1^(1/3))/(31250^(1/3)): (1^(1/3))/(31250^(1/3))31250^(1/3) = (2×5^6)^(1/3) = 5^2 2^(1/3): (1^(1/3))/(5^2 2^(1/3))5^2 = 25: (1^(1/3))/(25 2^(1/3))rationalize the denominator. (1^(1/3))/(25 2^(1/3)) = (1^(1/3))/(25 2^(1/3))×(2^(2/3))/(2^(2/3)) = (1^(1/3)×2^(2/3))/(25×2): (1^(1/3)×2^(2/3))/(25×2)25×2 = 50: answer: (1^(1/3)×2^(2/3))/(50)