Mathematics
In rhombus PQRS; A, B and C are mid-points of sides PQ, QR and RS respectively. If ∠P = 60°, the angle PQR is equal to:
60°
90°
120°
none of these
Mid-point Theorem
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Answer
Given, ∠P = 60°
∠P and ∠PQR are consecutive angles in the rhombus.
The sum of consecutive angles in a rhombus is 180°.
⇒ ∠P + ∠PQR = 180°
⇒ 60° + ∠PQR = 180°
⇒ ∠PQR = 180° - 60°
⇒ ∠PQR = 120°.
Hence, option 3 is the correct option.
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Statement 2: DE is median of triangle ADC.
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Statement 1 is false, and statement 2 is true.