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Given, △PQR≅△STU and ∠R=80∘ and ∠S=78∘, What is the measure of ∠Q? Enter your answer in the box

 Sep 5, 2023
edited by Guest  Sep 5, 2023
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According to the given statement, PQRSTU. Corresponding angles of congruent triangles have equal measure. Therefore, since mS=78, this means that mP=78. By the widely known Triangle Sum Angle Theorem, the sum of the interior angles of the triangle equals 180 degrees.

 

mP+mQ+mR=18078+mQ+80=180158+mQ=180mQ=22

 Sep 7, 2023

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