Question

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Answer 1

Answer:

x=40°

Step-by-step explanation:

Construction: Extend AB to N and draw PQ║CD through E.

                       (Prefer the attachment)

                     ∠DCM=∠BMC     (Alternate angles)

                  ⇒∠BMC=100°

    ∠BMC+∠EMB=180°      (Linear pair axiom)

⇒∠EMB=180°-100°=80°       ...(1)

   ∠ABE=∠BEQ         (Alternate angles)

 ⇒∠BEQ=120°                      ...(2)

    ∠EMB=∠MEQ       (Alternate angles)

 ⇒∠MEQ=80°              [By (1)]

∠BEC=∠BEQ-∠MEQ  

          =120°-80°

          =40°     Ans.

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