Question

Two parallel lines are crossed by a transversal.what is the value of x ?

Answer 1

12

Explanation:

(5x+5)+(115)=180

180-120=60

60/5=12

Answer 2

The value of x= 12.

Explanation:

Given two parallel lines b nd c are crossed by a transversal line 'a'.

`y+ 115^(\circ)=180^(\circ)`

By linear sum property

`y=180-115`

By subtraction property of equality

We get y=
`65^(\circ)`

By simplification

`5x+5=65^(\circ)`

b and c are parallel lines and cut by transversal line a then alternate interior angles are equal.

`5x=65-5`

By subtraction property of equality

5x=60

`x=(60)/(5)`

By division property

x=12

Hence, the value of xis 12.