If in the figure a // b and c // d, then name the angles that are cong

1.	If in the figure a // b and c // d, then name the angles that are congruent to (i) ∠1 and (ii) ∠2.
Answer» Given that a // b and c // d. ∠1 = ∠3 (∵ vertically opposite angles) ∠1 = ∠5 (∵ corresponding angles) ∠1 = ∠9 (∵ corresponding angles) Also ∠1 = ∠3 = ∠5 = ∠7 ; ∠1 = ∠11 = ∠9 = ∠13 = ∠15 Similarly ∠2 = ∠4 = ∠6 = ∠8 Also ∠2 = ∠10 = ∠12 = ∠14 = ∠16

If in the figure a // b and c // d, then name the angles that are congruent to (i) ∠1 and (ii) ∠2.

Answer»

Given that a // b and c // d.

∠1 = ∠3 (∵ vertically opposite angles)

∠1 = ∠5 (∵ corresponding angles)

∠1 = ∠9 (∵ corresponding angles)

Also ∠1 = ∠3 = ∠5 = ∠7 ;

∠1 = ∠11 = ∠9 = ∠13 = ∠15

Similarly ∠2 = ∠4 = ∠6 = ∠8

Also ∠2 = ∠10 = ∠12 = ∠14 = ∠16