2 Given the diagram below What is the measure of Zd What is

2. Given the diagram below, What is the measure of Zd? What is the measure of Le? What is the measure of Ea? What is the measure of 4b? What is the measure of Lc? What is the measure of

Solution

Well, d and 75 form a linear pair of angles
They add to 180
So, d + 75 = 180
d = 180 - 75
d = 105

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In that triangle on the top right, we have two angles, 30 and 105
Other angle, e = 180 - 105 - 30
e = 75- 30
e = 45

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Left most triangle :
65 + 90 + a = 180
a = 180 - 90 - 65
a = 90 - 65
a = 25

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a = b ---> vertical opp angles
We get a =25
So, b = 25

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Bottom right triangle
b + c + 75 = 180
25 + c + 75 = 180
c + 100 = 180
c = 180 - 100
c = 80

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a + f + e = 180 ---> linear triplet of angles
25 + f + 45 = 180
f + 70 = 180
f = 180 - 70
f = 110