In Fig., if lines l and m are parallel, then the value of x isA. 35°B

1.	In Fig., if lines l and m are parallel, then the value of x isA. 35°B. 55°C. 65°D. 75°
Answer» Given that, l ‖ m and n cuts them Let, ∠1 = x ∠2 = 90° ∠3 = 125° ∠3 + ∠5 = 180°(Linear pair) 125° + ∠5 = 180° ∠5 = 55° (i) ∠4 = 90° (ii) Now, ∠1 + ∠4 + ∠5 = 180°(Angle sum property) x + 90° + 55° = 180° x = 35°

In Fig., if lines l and m are parallel, then the value of x isA. 35°B. 55°C. 65°D. 75°

Answer»

Given that,

l ‖ m and n cuts them

Let,

∠1 = x

∠2 = 90°

∠3 = 125°

∠3 + ∠5 = 180°(Linear pair)

125° + ∠5 = 180°

∠5 = 55° (i)

∠4 = 90° (ii)

Now,

∠1 + ∠4 + ∠5 = 180°(Angle sum property)

x + 90° + 55° = 180°

x = 35°