Question

In the diagram below bd is parallel to xy what is the value of y?

Answer 1

Option C. y = 110°

Explanation:

In this question BD and XY are two parallel line and a transverse is intersecting both the lines at A and E.

Now ∠BAE = ∠AEY = 70° [ alternate interior angles ]

and ∠EAD + ∠BAE = 180° [ supplementary angles ]

or y + 70° = 180°

⇒ y + 70 - 70 = 180 - 70

⇒ y = 110°

Therefore Option C. measurement of y = 110° is the answer.

Answer 2

we know that

if the lines bd and xy are parallel. then

`y+70\°=180\°` --------> by consecutive interior angles

so

Solve for y

Subtract
`70\°` both sides

`y+70\°-70\°=180\°-70\°`

`y=110\°`

therefore

the answer is

`y=110\°`