Question

Can someone please explain how to do this?​

Answer 1

So for the linear pairs (the place where the lines intersect) the total will be 360°

360-(114*2) as we have a vertical angle too.

360-228=132

132 is the remaining °

132/2 (to get the measure of the other 2 vertical angles)

66 (Missing Top Angle)

180-66-54=60

60/2=30

e=30

Answer 2

e = 30

Explanation:

Since 114 and the adjacent angle are supplementary, that means they add up to 180.

114 + x - 114 = 180 - 114

x = 66

Now, solve inside the triangle which adds up to 180.

54 + 66 + 2e = 180

120 + 2e - 120 = 180 - 120

2e / 2 = 60 / 2

e = 30

Answer: e = 30