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TAS Mathematics QUESTION #5465
Question 1
Right triangles $PQR$ and $STU$ are similar, with $P$ corresponding to $S$. If the measure of angle $Q$ is $18^\circ$, what is the measure of angle $S$?
  • $18^\circ$
  • $72^\circ$✔️
  • $82^\circ$
  • $162^\circ$
Correct Answer Explanation
In right triangle $PQR$, $\angle P + \angle Q = 90^\circ \implies \angle P = 90^\circ - 18^\circ = 72^\circ$. Since $P$ corresponds to $S$, $\angle S = 72^\circ$.