Query about Question 2 from "PrepSwift: Tangent Lines" [3960]

[user9096]

https://prepswift.gregmat.com/quizzes/quiz/prepswift-tangent-lines (Question 2)

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write your question here…
Good afternoon
i have a question here
CP and CR are radii, angle PCR is 60
so triangle CPR becomes equilateral triangle
consider line CQ, angle CRP and angle PRQ are supplementary angles so angle PRQ is 120
now sum of all angles of triangle is 180 so sum of remaining angle RPQ and angle RQP is 60.
As we know side opposite to greater angle will be greater side.
So CR is opposite to 60 and RQ is opposite to 60 minus something (60 - x)
So as per this CR should be grater side instead of RQ.

Please let me know, if i am missing a point

[cylverixxx]

@user9096

So CR is opposite to 60 and RQ is opposite to 60 minus something (60 - x)

The rule that “the side opposite the larger angle is the longer side” applies exclusively within a single triangle. You cannot use an angle from Triangle A to compare a side length in Triangle A with a side length in Triangle B.

[user9096]

ohh! thanks I forgot