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

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 triangle ABC are extended to points P and Q respectively. Also, angle PBC lt angle QCB . Show that AC gt AB

In the given figure, the side QR of DeltaPQR is produced to a point S. If the bisectors of anglePQR and anglePRS meet at point T, then prove that angleQTR=(1)/(2)angleQPR .

In the given figure, if liens PQ and RS inctersect 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

S and T are points on sides PR and QR of DeltaPQR such that /_P= /_RTS . Show that DeltaRPQ ~ DeltaRTS .

It is given that angleXYZ=64^(@) and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects angleZYP , find angleXYQ and reflex angleQYP .

In the given figure points A and C are on the horizontal ground & A and B are in same vertical plane. Simultaneously bullets are fired from A, B and C and they collide at D. The bullet at B is fired horizontally with speed of 72/5 km//hr and the bullet at C is projected vertically upward at velocity of 54/5 km//hr . Find velocity of the bullet projected from A in m//s .

In the given figure, E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If AD bot BC" and "EF bot AC , prove that DeltaABD ~ DeltaECF

See the figure given below and complete the following statements : The x-coordinate and the y-coordinate of the point S are………..and………….respectively. Hence, the coordinates of S are (……….., …………).