∠ QOR = 100^{\circ}

OQ

is reflection of

OP

OM

∠ QOM = ∠ POM

; similarly,

∠ RON = ∠ PON

. Hence reflex

∠ QOR = 2 \times ∠ MON = 260^{\circ}

Therefore $∠ QOR = 360^{\circ} - 260^{\circ} = 100^{\circ}$