Question

Can somebody please help me with this question?

Answer 1

120, 114, 126

Explanation:

Since these are all exterior angles, they will all always add up to 360°. Since we know this, you can set up an equation and it would be x+(x+6)+114=360. When added you get 2x+120=360. Now subtract 120 on each side to get 2x equals 240. Then you divide by 2 and get that x is 120. Now all you have to do is plug x into the equations for the angles so they would be 120, 114, and 120+6 so 126. Now you have 120,114,and 126 as your angles. To check, just add all the angle measurements up and it should equal 360.

Answer 2

Explanation:

Sum of measures of exterior angles of polygon = 360

x + 6 + x + 114 = 360

2x + 120 = 360 {subtract 120 form both sides}

2x = 360 - 120

2x = 240 { divide both sides by 2}

x = 240/2

x = 120

x + 6 = 120 +6 = 126

Measures of exterior angles : 120 ; 126 ; 114