Answer:
a = 65, b = 50, c = 125, d = 55, e = 52, f = 105, g = 128, h = 40, j = 21, k = 71
Step-by-step explanation:
7. a = 65 degrees - (corresponding angles theorem) b = 50 degrees - (because of same sided interior angles theorem you have to do 180 - 130)
8. c = 125 (corresponding angles theorem) d = 55 (c & d are a linear pair so you have to do 180-125) e = 52 (alternate interior angles theorem)
9. f = 105 (Because of alternate interior angles theorem the angle that is 32 degrees and the angle next to it is 107. Next subtract 32 from it, which will make it a 75 degree angle. Lastly to find f use same sided interior angles theorem, this means subtract 180-75)
10. h = 40 (because of vertical angles theorem the other angle in the triangle is 52 degrees. Now find add 88 + 52 = 140, then subtract it from 180) g = 128 (same sided interior angles theorem)
11. j = 21 (First find the missing angle in the triangle. To do that add up all of the angles and then subtract it from 180. This makes the missing angle 39. Now subtract that from 60)
12. k = 71 (Since this is an isosceles triangle the 2 base angles will be congruent. Because of same sided interior angles theorem subtract 148 from 180, making it 32. We are trying to find the top angle of the triangle so add 32 + 110 = 142. Then subtract it from 180, 38. Now subtract 38 from 180, 142. Lastly divide it by 2, 71.)
or 