Answers:
- angle 2 = 38 degrees
- angle 3 = 142 degrees
- angle 4 = 38 degrees
========================================================
Explanation:
Angle 1 is given to be 142 degrees. Angle 3 is equal to this measure since vertical angles are congruent. Vertical angles are angles that form when you have an X shape like this. They are opposite angles.
Angles 2 and 4 are the other pair of congruent vertical angles. This means angle 2 = angle 4.
Note how angle 1 and angle 2 form a straight line. These two angles add to 180.
(angle1) + (angle2) = 180
(142) + (angle2) = 180
angle2 = 180-142
angle2 = 38 degrees
angle 4 is also 38 degrees since angles 2 and 4 are a congruent vertical angle pairing.
