Question:

Measures of some angles in the figure are given. Prove that AP/PB = AQ/QC

Answer:

ABC = 60˚ [Given]
APQ = 60˚ [Given]
Since the corresponding angles are equal, line PQBC.
In ABC , PQBC.
By basic proportionality theorem , AP/PB = AQ/QC
Hence proved.

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