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

In the Figure lfloorX = 62^(@),lfloorXYZ=54^(@). If YO and ZO are the bisectors of lfloorXYZandlfloorXZY respectively of DeltaXYZ," find " lfloorOZYandlfloorYOZ .

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 adjacent figure ray OS stands on a line PQ. Ray OR and ray OT are angle bisectors of anglePOS and angleSOQ respectively. Find angleROT .

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 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 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 a mathematics test given to 15 students, the following marks (out of 100) are recorded 41,39,48,52,46,62,54,40,96,52,98,40,42,52,60 Find the mean, median and mode of this data.