In figure, AB || CD, find ∠x and ∠y from the angles given in the f

1.	In figure, AB \|\| CD, find ∠x and ∠y from the angles given in the figure.
Answer» Here it is given that AB \|\| CD ∠x + 80° = ∠BCD (alt. angles) ⇒ ∠x + 80° = 116° ⇒ ∠x = 116° – 80° ⇒ ∠x = 36° Now at point B ∠y + ∠x + 80° = 180° (straight angle) ⇒ ∠y = 180° – 116° ⇒ ∠y = 64° Hence, ∠x = 36° and ∠y = 64°

In figure, AB || CD, find ∠x and ∠y from the angles given in the figure.

Answer»

Here it is given that AB || CD

∠x + 80° = ∠BCD (alt. angles)

⇒ ∠x + 80° = 116°

⇒ ∠x = 116° – 80°

⇒ ∠x = 36°

Now at point B

∠y + ∠x + 80° = 180° (straight angle)

⇒ ∠y = 180° – 116°

⇒ ∠y = 64°

Hence, ∠x = 36° and ∠y = 64°