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Navdeep Lather

· started a discussion

· 1 Months ago

Navdeep (Question: 188669.0 )

How are angle AQP an`d POR are equal?

Question:
The tangents are drawn at the extremities  of a diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangets at points points Q and R, then the measure of the \(\angle \)QPR is – 
Options:
A) 45º
B) 60º
C) 90º
D) 180º
Solution:
Ans: (c)


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

In Triangle AQP and Triangle QPR, AQ and QR is equal because of tangent line, angle QAR and angle QRP is equal because of tangent angle, in Triangle AQP and Triangle QPR, PQ common side, thus by the side angle side congruence rules Triangle AQP and Triangle QPR is equal.

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