in the given figure, prove that BF||DE
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We, know that sum of angles in a ∆ is 180°
So, ∠A + ∠B + ∠C = 180°
→ 65° + ∠B + 55° = 180°
→ ∠B = 180° - 55° - 65°
→ ∠B = ∠ABC = 60°
Now, ∠CBF + ∠ABC = 180°
So, ∠CBF = 180° - 60° = 120°
Here, ∠CBF = ∠BDE = 120°
HENCE, BF || DE (Proved)
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Step-by-step explanation:
Refer to the attachment below.
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