Math, asked by vanshikadeshmukh27, 7 months ago

measure of some angle in the figure are given. prove that AP/PB=AQ/QC​

Answers

Answered by mahendrabishnoi2992
13

Step-by-step explanation:

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]

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