In `trianglePQR` , sides PQ and PR are extended to S and T respectively . OQ and OR are bisector of `angleRQS` and `angleQRT` meeting at O. Show that `2angleQOR=anglePQR+angleQRP`

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of angleAQR and angleBRQ intersect at point O. If angleQOR = 50^@ , what is the value (in degree) of angleQPR ?

The sides PQ and PR od triangle PQR are produced to point S and T, respectively. The bisector of angle SQR and angle TRQ , meet at U. If angle QUR= 59^@ , then the measure of angle P is: triangle PQR की भुजाएँ PQ और PR क्रमशः बिंदु S और T तक बढ़ाया जाता हैं। angle SQR और angle TRQ के द्विभाजक, U पर मिलते हैं। यदि angle QUR= 59^@ है, तो angle P का माप है :

In the figure below, 2angleP=angleQOR . OQ and OR are bisectors of angleQ and angleR respectively. Find angleP .

The sides PQ and PR of triangle PQR are produced to points S and T, respectively. The bisectors of angle SQR and angle TRQ meet at U. If angle QUR = 79^@ , then the measure of angle P is: त्रिभुज PQR की भुजाओ PQ और QR को क्रमशः S और T तक बढ़ाया जाता है| angle SQR और angle TRQ के समद्विभाजक U पर मिलते हैं| यदि angle QUR = 79^@ है, तो कोण P का मान ज्ञात करें |

In DeltaPQR side QR is extended to S and angle bisector of anglePQR and anglePRS meets at point T. If angleQPR=80^(@) find angleQTR .

If DeltaABC,angleA=52^@ , Its sides AB and AC are produced to the points D and E respectively. If the bisectors of the angleCBD and angleBCE meet at point O, then angleBOC is equal to:

In a triangle ABC , angle A=72^@ . Its sides AB and AC are produced to the points D and E respectively. If the bisectors of the angle CBD and angle BCE meet at point O, then angle BOC is equal to:

If the bisectors of angleQ and angleR of a triangle trianglePQR meet at point S, then prove that angleQSR=90^@+1/2angleP