Question

AB||CD find X Lines and angles
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Answer 1

$\huge\purple{Solution:-}$

☞ Answer :

→ x = 100°

☞ Step-by-explanation :

→ Given :

• ∠ABC = 35° , ∠EDC = 65° and AB || CD

→ To Find :

• x

→ Construction :

• Draw MP || AB || CD bisecting ∠BED.

→ Rationale :

∵ AB || MP

Therefore,

∠ABE = ∠BEP [Alternate angles]

Hence, ∠BEP = 35°

Also,

CD || MP

Therefore,

∠CDE = ∠DEP

Hence, ∠DEP = 65°

Now,

∠BEP + ∠DEP = ∠BED

⇒35° + 65° = 100°

⇒ ∠BED = 100° = x

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Hope this helps!❤