In the adjoining figure AB || CD, If ∠1 : ∠2 = 3 : 2, then ∠6 is:-
72°
Let ∠1 and ∠2 be 3x and 2x
As we know angle on a straight line is 180∘
so, 3x + 2x = 180∘
⇒ 5x = 180∘
⇒ x = 36∘
⇒∠6 = ∠2 (∠6 and ∠2 are corresponding angles)
⇒ ∠6 = 2x = 2 × 36 = 72∘
hence ∠6 = 72∘