Answers

2016-04-08T11:08:45+05:30
First of all, a = 65 because its vertically opposite angle is 65.

Now, look at the two vertical parallel lines and their transversal. and are alternate angles.

So, b = 65.

Now, look at the two horizontal parallel lines and their transversal. and are alternate angles.

So, c = 65.

Now, and form a linear pair.

c + d = 180
∴65 + d = 180
∴ d = 180 - 65
d = 115

Now, again look at the two parallel horizontal lines and their transversal.
and  are alternate angles.

So, e = 115

Thus,
a = b = c = 65 
and d = e = 115
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