In the diagram below bd is parallel to xy what is the value of y?
we know that
if the lines bd and xy are parallel. then
[tex]y+70\°=180\°[/tex] --------> by consecutive interior angles
so
Solve for y
Subtract [tex]70\°[/tex] both sides
[tex]y+70\°-70\°=180\°-70\°[/tex]
[tex]y=110\°[/tex]
therefore
the answer is
[tex]y=110\°[/tex]
Answer:
Option C. y = 110°
Step-by-step 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.