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## Answers

**a = 65**because its vertically opposite angle is 65.

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

**a**and

**b**are alternate angles.

So,

**b = 65.**

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

**b**and

**c**are alternate angles.

**So,**

**c = 65.**

**Now,**

**c**and

**d**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.**

**d**and

**e**are alternate angles.

So,

**e = 115**

Thus,

a = b = c = 65

and d = e = 115

Thus,

a = b = c = 65

and d = e = 115