Question

Find the measure of angles a, b, c, d, e, f

Answer 1

Answer:

good evening

Vertical angles are equal, and the 3 angles at the top of the diagram sum to 180, so they are 78 + 44 + 58. Because vertical angles are equal, angle f is 58. Again, because 64 + e + 90 = 180, angle e must equal 26. Because corresponding angles are equal when a line crosses 2 parallel lines, d must equal 78 + 44 = 122. Because c is supplementary to d, c = 58. Similarly, a = 58 + 44 = 102, which implies that b = 78. So:

a = 102

b = 78

c = 58

d = 122

e = 26

f = 58