A square PQRS is constructed in an equilateral triangle ABC, such that P and S lie on the sides AB and AC respectively, while Q and R lie on side BC. If ∠ BPC = θ, then
A.
θ > 105⁰
B.
90⁰ < θ < 105⁰
C.
θ = 90⁰
D.
75⁰ < θ < 90⁰
Correct Answer : D

Question

A square PQRS is constructed in an equilateral triangle ABC, such that P and S lie on the sides AB and AC respectively, while Q and R lie on side BC. If ∠ BPC = θ, then

A to Z Exams · Accepted Answer

750 < θ < 900

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