Question

How do I find the measure of the interior angle?

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

$n=5\ sides$

substitute

$S=(5-2)180^o=540^o$

step 2

Find the value of x

we know that

$-3x+125+(45-x)+(-x+90)+80=540$

solve for x

$-5x+340=540$

$-5x=200\\x=-40$

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

$-3(-40)=120^o$

Angle B

$80^o$

Angle C

$-(-40)+90=130^o$

Angle D

$45-(-40)=85^o$

Angle E

$125^o$