Question

1 )Measures of some angles in the figure are given. Prove that  =

Answer 1

Answer:

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Step-by-step explanation:

Measures of some angles in figure are given prove that AP/PB=AQ/QC​

Given: ∠P = 60° and ∠B = 60°.

• To prove: AP/PB = AQ/QC​
• Proof: 1) In the given triangle ABC.

• ΔABC & ΔAPQ. ∠P = ∠B = 60° (given) ∠A = ∠A ( common) ∠C = ∠Q (ultimately equal if the other two are equal) ΔABC ≈ ΔAPQ ( by AA similarity rule)