Question

In the figure, AB || CD, find y. *

Answer 1

Step-by-step explanation:

Given:

AB || CD

One angle = 40°

Seocnd angle = 118°

To find:

Value of y°

Solution :

∠118° + ∠y° = 180° (Interior angles on the same side of transversal are supplementary, AB || CD)

⇒ y = 180 - 118

⇒ y = 62°

Value of y = 62°

___________________

★ Additional Information

Other properties of parallel lines =

• Interior angles on the same side of the transversal are supplementary.

• Alternate interior angles are equal.

• Corresponding angles are equal.

• Vertically opposite angles are equal.

• Alternate exterior angles are equal.

Answer 2

62°

Step-by-step explanation:

Because AB || CD,

So,

118° + y = 180°

[the sum of interior angles of same side = 180°]

=> y = 180° - 118°

=> y = 62°

Hence,

The value of y = 62°.

Some other properties of parallel lines cut by a transversal.

• Alternate exterior angles are equal.
• Alternate interior angles are equal.
• Corresponding angles are equal.
• Interior angles of same side = 180°
• Exterior angles of same side = 180°
• Vertically opposite angles are equal.

Hope it helps.

#BeBrainly :-)