PQR is a triangle in which -Q - 2-R- If a line PS is drawn from vertex P such that it bisects -QPR and cuts QR at S such that PQ - RS- then what is the value of -QPR - -QRP-

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PQR is a tria...

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PQR is a triangle in which \angle Q = 2\angle R. If a line PS is drawn from vertex P such that it bisects \angle QPR and cuts QR at S such that PQ = RS, then what is the value of \angle QPR + \angle QRP?

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E

Q R

Δ P Q R

P E

∠ Q P R

= 5.5

= 4.5

∠

= 45^{o}

= 3

∠ Q P R = 60^{\circ}

∠ Q R P = 45^{\circ}

∠ Q > ∠ R

M

Q R

P M

∠ Q P R

P

Q R

Q R

N

∠ M P N = \frac{1}{2} (∠ Q - ∠ R)

∠ Q P R

∠ P S R

∠ P S Q

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