​ In the given figure, AB||CD||FE. Find x, y and ∠AEC. ​

Question

In the given figure, \(\overrightarrow {AB} || \overrightarrow {CD} || \overrightarrow {FE} \). Find x, y and ∠AEC.

Answer 1

Given \(\overrightarrow {AB} || \overrightarrow {CD} || \overrightarrow {FE}\)

∠x = 20° (Alternate interior angles) ∠

y = 33° (Alternate interior angles) 

∠AEC = ∠AEF + ∠FEC 

∠AEC = ∠x + ∠y 

∠AEC = 20° + 33° = 53° 

∴ x = 20°, y = 33° and ∠AEC = 53°