Question

Please show your work

Answer 1

<2 is 40°, <3 is 140°, <4 is 40°

Explanation:

Angle 1 and angle 3 are equal because of the vertical angles theorem. Angle 2 is supplementary to angle 3(<3 = 140°), so 180 - 140 = 40°. <2 and <4 are equal because of the vertical angles theorem.

Answer 2

2=40 3=140 4=40

Explanation:

the center line is equal to 180 degrees so if angle 1 is 140, 180-140=40 angle 2=40

angle 2 and 4 and the same by some process (its been awhile since geometry to remember exact terms)

angle 1 and 3 are the same (same reason)