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Measures of some angles in the figure are given. Prove that AP/PB = AQ/QC .
Measures of some angles in the figure are given. Prove that AP/PB = AQ/QC .
Measures of some angles in the figure are given. Prove that AP/PB = AQ/QC
Measures of some angles in the figure are given. Prove that AP/PB = AQ/QC
Proof
∠APQ = ∠ABC = 60° …[Given]
∴ ∠APQ ≅ ∠ABC
∴ side PQ || side BC …(i) [Corresponding angles test]
In ∆ABC,
sidePQ || sideBC …[From (i)]
∴ AP/PB = AQ/QC ….[Basic proportionality theorem]