In the given figure sides QP and RQ of ΔPQR are produced to points S and T respectively. If `angleSPR = 135^(@)` and `anglePQT = 110^(@)`, find `anglePRQ.`

In Fig , sides QP and RQ and RQ of DeltaPQR are produced to points S and T respectively . If lfloorSRP = 135^(@) and lfloorPQT=110^(@) , " find " lfloorPRO .

In the adjacent figure the sides AB and AC of Delta ABC are produced to points E and D respectively. If bisectors BO and CO of angleCBE and angleBCD respectively meet at point O, then prove that angleBOC = 90^(@)-(1)/(2) angleBAC .

In the given figure sides AB and AC of triangleABC , are extended to point P and Q respectively. Also anglePBC lt angleQCB . Show that AC gt AB .

In the given figure if line segments PQ and RS intersect at point T, such that anglePRT = 40^(@), angleRPT = 95^(@) and angleTSQ = 75^(@) , find angleSQT

In the given figure triangle ABC side AC has been produced to D. angleBCD = 125^(@) and angleA:angleB= 2 : 3 , find the measure of angleA and angleB

In the figure, PQL and PRM are tangents to the circle with centre O at the points Q and R respectively and S is a point on the circle such that |__SQL=50^(@) and |__SRM=60^(@) . Find |__QSR .

In the given figure, a circle is inscribed in a DeltaABC such that it touches the sides AB, BC, and CA at points D, E, and F respectively. If the lengths of the sides AB, BC, and CA are 12 cm, 8 cm, and 10 cm respectively, find the lengths of AD, BE, and CF.

In Fig , the side QR and DeltaPQR is produced to a point S. If the bisector of lfloorPQR and lfloorPRS meet at point T the prove that lfloor QTR=(1)/(2) lfloorQPR.

In the figure, a triangle ABC is drawn to circumscribe a circle of radius 2 cm such that the segments BD and DC into which BC is divided by the point of contact are the lengths 4 cm and 3 cm respectively. If the area of DeltaABC=21 cm^(2) , find the length of sides AB and AC.