Question

pls give the ans
it's very important ​

Answer 1

Step-by-step explanation:

Given :-

m || n || p, l is a transversal,

To find :-

Find x and y ?

Solution :-

Given that

m || n || p, l is a transversal,

Consider a,b,c angles in the figure

a = 60°

Since they are vertically opposite angles

a and x are interior angles on the same side to the transversal

So they are supplementary

=> a+x = 180°

=> 60°+x = 180°

=> x = 180°-60°

=> x = 120°

x and b are linear pair

x+b = 180°

=> b = 180°-x

=>b = 180°-120°

=>b = 60°

b and c are corresponding angles

b and c are equal

=>b = c = 60°

and

c and y are vertically opposite angles

=> y = 60°

Answer:-

The measure of the angle x = 120°

The measure of the angle y = 60°

Used formulae:-

If two parallel lines Intersected by a transversal then,

• Vertically opposite angles are equal.
• Corresponding angles are equal.
• Alternative interior angles are equal.
• Interior angles on the same side to the transversal are supplementary.