For two vertical angles where ∠1=2x+26° and ∠3=3x−32°, what is the measure of angle #1?

<1 =

2x + 26°

12.

∠6=112° and ∠7=2x+8. What equation will solve for x?

112 + 2x +8 = 90

112 +2x +8 =180

112 = 2x + 8

2x + 8 = 180 - 112

1st 2nd or third one?????

The correct equation that will solve for x is:

112 + 2x + 8 = 180

vertical angles are equal. They are the opposite angles when two lines cross.

2x+26 = 3x -32
x = 26+32 = 58
∠1=2x+26° = 116 + 26 = 142

Correct! The measure of angle #1 is 142°.