Solve for x and find the measure of each angle
Need by friday night

7. x = 12

m<1 = 135

m<2 = 135

8. x = 15

m<1 = 78

m<2 = 102

Step-by-step explanation:

FOR 7:

Note: steps for this are written in PURPLE on the photo

You would set them equal to each other, because they are vertical angles.

(steps 1-4 in photo)

Once you get "x" you will just plug that number in for each equation. When you get the answer to one equation, there is no need to do the other equation because they are vertical angles. Vertical angles are equal.

However, if you want to double check, just do the same as before.

(steps 5-6 in photo)

FOR 8:

Note: steps for this are written in RED on photo

You would add these equations together and equal them to 180 degrees, because they are supplementary angles.

(steps 1-5 in photo)

Once you get "x" you will do the same as #7, you plug it in.

However, when you get m<1 you do NOT do the same as #7. They are NOT equal to each other, so just plug it in to the other equation.

(steps 6-7 in photo)

If you have any questions, feel free to ask them. I hope I helped and good luck with your work! :)

step-by-step explanation: