In the given figure, `angleX=62^(@),angleXYZ=54^(@)`. If YO and ZO are the bisectors of `angleXYZ` and `angleXZY` respectively of `DeltaXYZ`, find `angleOZY` and angleYOZ`.

In the given figure angleA= 40^(@) . If bar(BO) and bar(CO) are the bisectors of angleB and angleC respectively. Find the measure of angleBOC .

In the given figure, ray OS stands on a lien POQ. Ray OR and ray OT are angle bisectors of anglePOS and angleSOQ respectively. If anglePOS=x , find angleROT .

In the given figure, angle BCD = 43 ^(@) and angle BAE = 62 ^(@). Find the values of a,b,c and d.

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

In the given figure, BC,BA and AC are tangents to the circle touching the circle at D,E and F respectively. If BD=30cm, CD=7cm and angleA=90^@ , find the radius of the circle.

In the figures given below AB || CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons

In the given figure, two concentric circles with centre O and radii 5cm and 3 cm are given, PA and PB are tangents to those circle at A and B respectively. If PA =12cm, find PB.

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 .

Given (x)/(y)=(5)/(6) now x is reduced by 62 and the ratio of x and y becomes (2)/(3) then find x and y respectively :-