find the measures of the exterior angels of the polygon: 2r , 100 , 115 , (r + 25)

Question

 its degrees and I know the sum is 360 but idk what to do from there

Answer 1

Bekah,

 

The first thing we need to do is find out what r is equal to,  so let's make an equation

 

2r + (r+25) + 100+ 115= 360

3r+ 240= 360

3r= 120

r= 40

 

2r= 80

r+25= 65

 

Now that we know what each interior angel's measurements,  we need to find the exterior angles

 

180- 80= 100

180- 65= 115

180-100= 80

180- 115= 65