Question

1. the sum of the angle measures of the polygon is 540°. write and solve an equation to find the value of x. an equation is □ = 540. the solution is x = □.

Explanation:

Step1: Set up the equation

$85 + 5x+5x+(5x - 10)+(5x + 5)=540$

Step2: Combine like - terms

$(5x+5x+5x+5x)+(85 - 10 + 5)=540$
$20x+80 = 540$

Step3: Isolate the variable term

$20x=540 - 80$
$20x=460$

Step4: Solve for x

$x=\frac{460}{20}$
$x = 23$

Answer:

$x = 23$