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Question: Answered & Verified by Expert
Let $\mathrm{P}$ be an interior point of a triangle $\mathrm{ABC}$. Let $\mathrm{Q}$ and $\mathrm{R}$ be the reflections of $\mathrm{P}$ in $\mathrm{AB}$ and $\mathrm{AC}$, respectively. IF $\mathrm{Q}, \mathrm{A}, \mathrm{R}$ are collinear then $\angle A$ equals.
MathematicsProperties of TrianglesKVPYKVPY 2015 (SA)
Options:
  • A $30^{\circ}$
  • B $60^{\circ}$
  • C $90^{\circ}$
  • D $120^{\circ}$
Solution:
1110 Upvotes Verified Answer
The correct answer is: $90^{\circ}$


So from Diagram
$$
\begin{array}{l}
\theta+\theta+\phi+\phi=180^{\circ} \\
\angle \mathrm{A}=\theta+\phi=90^{\circ}
\end{array}
$$

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