We know the two angles form a linear pair and linear pairs are Answer 1 Question 14
supplementary
so their measures add together to get 180
. Our equation, therefore, would be:

(x+13)+(
Answer 2 Question 14
) =180

Combine your like terms.

5x+15=
Answer 3 Question 14
180

Subtract 15
from both sides and you have

5x=
Answer 4 Question 14
165

Divide by 5
on both sides

x=
Answer 5 Question 14
33



Check Your Work
A great way to check your work is to substitute back in and make sure the angles’ measures add to 180
like we stated they would. Let’s double check our work.

x+13

Answer 6 Question 14
33
+13

46

And

4x+2

4(
Answer 7 Question 14
33
)+2

134

Do 46+134=180
YES! So we did our work correctly.