Answer:
72
Step-by-step explanation:
<1 and <2 are not equal to each other
Let the angle directly above angle 2 (on the right side of the line) be angle 3
<1 and <3 are corresponding angle, which means they are equal
<2 and <3 are supplementary angles since the form a line
<2 + <3 = 180
We know <1 = <3
<1 + <3 = 180
We are given <1 = 2x+12 and <2 = 3x+18
2x+12 + 3x+18 = 180
Combine like terms
5x+30 = 180
Subtract 30 from each side
5x+30-30 = 180-30
5x= 150
Divide each side by 5
5x/5 = 150/5
x=30
<1 = 2x+12
Substitute 30 in for x to find angle 1
= 2*30 +12
=60+12
= 72
