Question

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Answer 1

Answer:

x = 103°, y = 77°, z =103°

Step-by-step explanation:

y = 77° ( opposite angle of u)

z= 180 - 77( linear Pair)

= 103°

x = 103 °( opposite angle of z)

Answer 2

Step-by-step explanation:

Given :-

l and m are interesting lines

u = 77°

To find :-

Find the values of x ,y and z?

Solution :-

Given that

l and m are interesting lines.

They are interesting at O

Given that :

u = 77°

Since u and y are vertically opposite angles

u and y are equal

y=77°

and

u and x are linear pair

and y and z are linear pair.

The sum of two adjacent angles is 189° they are called linear pair

=> u+x = 180°

=> 77°+x = 180°

=>x = 180°-77°

=> x = 103°

and

x and z are vertically opposite angles

x = z

z = 103°

Answer:-

The value of x = 103°

The value of y = 77°

The value of z = 103°

Used formulae:-

• If two lines are intersecting then

• The pair of vertically opposite angles are equal.

• The sum of two adajacent angles is 180° they are Linear pair.