Question

In the given figure, AB || CD, then the value of x will be

Options

• 100°

• 110°

• 130°

• 120°

Answer 1

100°

Explanation:

Draw EF parallel to AB || CD

AB || EF and AE is a transveral

⇒ ∠BAE + ∠ AEF = 180°

132° + ∠AEF = 180°

⇒ ∠AEF = 48°

Now, ∠FEC = ∠AEC – ∠AEF

= 148° – 48°

= 100°

EF || CD  and EC is a transveral

⇒ ∠FEC = ∠x = 100°