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Drag and drop an answer to each box to correctly complete the proof.

Given: m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC .

Prove: m∠6=70∘

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User OPK
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Answer:

Explanation:

Here the given data are ;

m ║n , m∠ 1 = 65° , m∠2 = 60°

And BD bisects ∠ABC .

So first calculating the value of ∠ ABD = 180° - 65° - 60° = 55°

∵ BD bisects ∠ABC ,

So ∠DBC = 55°

Now , ∠ BRA = 180° - 55° - 55° = 70°

Since the line m and n are parallel ,

m∠6 = ∠BRA = 70°

HENCE PROVED.

I am attaching an image of diagram to better understand my solution.

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User Inverce
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