In Fig., if lines l and m are parallel, then x =A. 20°B. 45°C. 65°D

1.	In Fig., if lines l and m are parallel, then x =A. 20°B. 45°C. 65°D. 85°
Answer» l ‖ m Let transversal be n and ∠1 = 65° ∠2 = 20° ∠3 = x Since, l ‖ m and n cuts them so, ∠1 + ∠4 = 180°(Co. interior angle) 65° + ∠4 = 180° ∠4 = 115°(i) ∠4 = ∠5 = 115°(Vertically opposite angle) ∠2 + ∠5 + ∠3 = 180° 20° + 115° + x = 180° x = 45°

In Fig., if lines l and m are parallel, then x =A. 20°B. 45°C. 65°D. 85°

Answer»

l ‖ m

Let transversal be n and ∠1 = 65°

∠2 = 20°

∠3 = x

Since,

l ‖ m and n cuts them so,

∠1 + ∠4 = 180°(Co. interior angle)

65° + ∠4 = 180°

∠4 = 115°(i)

∠4 = ∠5 = 115°(Vertically opposite angle)

∠2 + ∠5 + ∠3 = 180°

20° + 115° + x = 180°

x = 45°