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answer choices: 101,19,50,60,79
a=
b=
c=
d=
e=

Step-by-step explanation:

1) The sum of the angles on a straight line is 180 degrees. This means that

51 + b + 110 = 180

161 + b = 180

b = 180 - 161 = 19 degrees

2) Angle a = 60 degrees. This is so because they are vertically opposite angles.

3)The sum of angles in a triangle is 180 degrees. Therefore

angle a + angle b + angle c

60 + 19 + c = 180

79 + c = 180

c = 180 - 79 = 101 degrees

4) d + c = 180(sum of the angles on a straight line is 180 degrees). Therefore

d + 101 = 180

d = 180 - 101 = 79 degrees.

5) e + 51 + b + a = 180( sum of the angles in a triangle is 180 degrees). Therefore

e + 51 + 60 + 19 = 180

e + 130 = 180

e = 180 - 130 = 50 degrees