The Angle Arena
Level
pending
If PQ and PR are tangents. Find angle RQS when angle QPS =30.
(Construction required). Points are.P is the point from which tangents are drawn. R and S are on the base of the triangle in circle. The point left in the triangle upside is Q.
The answer is 30.
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1 solution
I would suggest to the problem writer to use better punctuation and to speak more clearly. Otherwise, we can set up a figure RQPS, and prove that it is a parallelogram. Because QP is a tangent, QP and RS are parallel. If we do a bit of angle-chasing, we can prove that it is indeed a parallelogram, thus angle QRS is 30 degrees.