Solve the math problem

The Answer is 180

Step-by-step explanation:

COrrect

<1 = 109 (Vertically Opposite to <3)

<2 = 71 (Corresponding to <6)

<3 = 109

<4 = 71 (Alternate Interior to <6)

<5 = 109 (Alternate Interior to <3)

<6 = 71

<7 = 109 (Corresponding to <3)

<8 = 71 (Vertically Opposite to <6)

Step-by-step explanation:

<1 = 2x + 29

<2 = x + 31

<3 = 2x + 29

<4 = x + 31

<5 = 2x + 29

<6 = x + 31

<7 = 2x + 29

<8 = x + 31

<1 + <2 = 180

(2x + 29) + (x + 31) = 180

(2x +x) + (29 + 31) = 180

3x + 60 = 180

3x = 180 - 60 = 120

x = 120/3

x = 40

<1 = (2x + 29)

   = (2 * 40) + 29

   = 80 + 29

   = 109

<2 = x + 31

    = 40 +31

    = 71