Q). In the given figure, A B ∥ C D , ∠ A B E = 120 ° , ∠ E C D = 100 ° a n d ∠ B E C = x ° . Find the value of x ° . Share with your friends Share 2 Shruti Tyagi answered this Dear Student, AB∥CDextend AB to M and N.∠ECD=100since ∠ECD=∠EMN --corresponding angleshence ∠EMN=100Now ∠EMN and ∠EMB are linear pairHence ∠EMN +∠EMB=180∠EMB=180-100∠EMB=80similarly ∠EBA and ∠EBM are linear pair⇒∠EBA+∠EBM=180⇒120+∠EBM=180⇒∠EBM=180-120⇒∠EBM=60in △BEM∠EBM+∠EMB+∠BEC=180⇒60+80+∠BEC=180⇒140+∠BEC=180⇒∠BEC=180-140⇒∠BEC=40hence a=40 Regards, -1 View Full Answer