Mathematics

Mathematics

Problem

△ABC≅△DEF\triangle ABC \cong \triangle DEF with correspondence AB↔DEAB \leftrightarrow DE, BC↔EFBC \leftrightarrow EF and CA↔FDCA \leftrightarrow FD. Also, △DEF≅△PQR\triangle DEF \cong \triangle PQR with correspondence DE↔PRDE \leftrightarrow PR, EF↔PQEF \leftrightarrow PQ and FD↔QRFD \leftrightarrow QR. If ∠BAC=42∘\angle BAC = 42^{\circ}, what is the measure of ∠QRP\angle QRP? a) 60∘60^{\circ} b) 84∘84^{\circ} c) 48∘48^{\circ} d) 42∘42^{\circ}

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