Question

Am I correct? ( top question)

Answer 1

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