Q. 124.1( 89 Votes )

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Answer :

(i) We have to find the value of x, y and z

We have,

x and 55o are vertically opposite angles

Therefore,

x = 55o

Also,

x and y form a linear pair

Therefore,

x + y = 180o (Sum of linear pair angles)

55o + y = 180o

y = 180o – 55o

= 125o

Also,

y and z are vertically opposite angles

Therefore,

y = z = 125o

Hence,

The value of x, y and z is as follows:

x = 55o

y = 125o

And,

z = 125o

(ii) We have to find out the values of x, y and z

We have,

z and 40o are vertically opposite angles

Therefore,

z = 40o

Also,

y and z form a linear pair

Therefore,

y + z = 180o (Sum of angles of linear pair)

y + 40o = 180o

y = 180o – 40o

= 140o

Also, we know that:

Sum of angles in a straight line = 180o

x + 40o + 25o = 180o

x + 40o + 25o = 180o

x + 65o = 180o

x = 180o – 65o

= 115o

Hence,

The value of x, y and z is as follows:

x = 115o

y = 140o

z = 40o

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