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

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

In the adjacent figure DeltaABC , bar(OB), bar(OC) are the angle bisectors of angleB, angleC respectively Intersect at 'O'. angleBOC =130^@ . If bar(OB)=bar(OC) , then find angleA, angleABC, angleACB .

It is given that angleXYZ = 64^@ and XY is produced to point P. A ray YQ bisects angleZYP . Draw a figure from the given in formation. Find angleXYQ and reflex angleQYP .

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 below given figure P and Q are points on the sides AB and AC respectively of triangle ABC such that AQ = 3cm, QC= 5cm and PQ ||BC . Find the ratio of areas traingle APQ and triangle ABC .

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 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 :