Question

In Fig. 66, if AF || DE, then x =
(a) 37
(b) 57
(c) 47
(d) 67

Answer 1

Since, AF || DE
∠EDC = ∠ACB = 109° [Corresponding angles]
Now, In △ABC
∠ACB + ∠CAB + ∠CBA = 180° [Angle sum property of triangle]
⇒ 109° + 24° + x° = 180°
⇒ x° = 47°
⇒ x = 47
Hence, the correct answer is option (c).