Answers:
Angle 2 = 67 degrees
Angle 3 = 113 degrees
Angle 4 = 67 degrees
Angle 5 = 113 degrees
Angle 6 = 67 degrees
Angle 7 = 113 degrees
Angle 8 = 67 degrees
==============================
Step-by-step explanation:
Angle 1 is given to be 113 degrees, so 180 minus that angle is 180-113 = 67 which is the measure of angle 2. This works because angle 1 and angle 2 form a straight 180 degree angle.
Angle 2 = angle 8 because they are vertical angles, same can be said for angle 1 and angle 7. Also, we know that angle 3 = angle 5, and angle 4 = angle 6.
Furthermore, the alternate interior angles are congruent so angle 8 = angle 4 and angle 7 = angle 3.
Based on all that we can fill out a lot of the angles. You'll have the same answers repeated over and over. The even numbered angles (angle 2, angle 4, angle 6, angle 8) are all 67 degrees. The odd numbered angles (angle 1, angle 3, angle 5, angle 7) are 113 degrees.
Make sure you correct the "130" for angle 5 to be "113" instead.