- In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then
what is the value (in degrees) of ∠QPR?

Question

- In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then
what is the value (in degrees) of ∠QPR?

Avaneesh Dwivedi · Answer

80 degree u can easily do it by a property of exterior angle sum property ie sum of 2 remote interior angles is equal to its remote counterpart exterior angles

shubham sourav · Answer

80 deg

in tri PQR LET angle P,Q,R =p,q,r. in tri QOR angle Q=(p+r)/2,R=(p+q)/2,O=50. sum =180 therefore 2p+q+r=260 =) p+(p+q+r)=260 =)p=260-180=80

- In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

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