Given, △PQR≅△STU and ∠R=80∘ and ∠S=78∘, What is the measure of ∠Q? Enter your answer in the box
According to the given statement, △PQR≅△STU. Corresponding angles of congruent triangles have equal measure. Therefore, since m∠S=78∘, this means that m∠P=78∘. By the widely known Triangle Sum Angle Theorem, the sum of the interior angles of the triangle equals 180 degrees.
m∠P+m∠Q+m∠R=180∘78∘+m∠Q+80∘=180∘158∘+m∠Q=180∘m∠Q=22∘