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MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem △ A B C ≅ △ D E F \triangle ABC \cong \triangle DEF △ A B C ≅ △ D E F with correspondence A B ↔ D E AB \leftrightarrow DE A B ↔ D E , B C ↔ E F BC \leftrightarrow EF B C ↔ E F and C A ↔ F D CA \leftrightarrow FD C A ↔ F D . Also, △ D E F ≅ △ P Q R \triangle DEF \cong \triangle PQR △ D E F ≅ △ P QR with correspondence D E ↔ P R DE \leftrightarrow PR D E ↔ P R , E F ↔ P Q EF \leftrightarrow PQ E F ↔ P Q and F D ↔ Q R FD \leftrightarrow QR F D ↔ QR . If ∠ B A C = 42 ∘ \angle BAC = 42^{\circ} ∠ B A C = 4 2 ∘ , what is the measure of ∠ Q R P \angle QRP ∠ QR P ?
(a) 60 ∘ 60^{\circ} 6 0 ∘
(b) 84 ∘ 84^{\circ} 8 4 ∘
(c) 48 ∘ 48^{\circ} 4 8 ∘
(d) 42 ∘ 42^{\circ} 4 2 ∘
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