In the adjacent figure, it is given that, BC || DE, `angleBAC = 35^(@)` and `angleBCE = 102^(@)` . Find the measure of
`(i)` `angleBCA `
`(ii) angleADE` and
`(iii)` `angleCED`.

In the adjacent figure, it is given that AB =AC, angleBAC = 36^(@) , angleADB = 45^(@) and angleAEC = 40^(@) . Find (i) angleABC (ii) angleACB (iii) angleDAB (iv) angleEAC .

In the given figure if AB || DE, angleBAC = 35^(@) and angleCDE = 53^(@) , find angleDCE.

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

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 AB || CD, BC || DE then find the values of x and y

Find the value of x^(2) for the given values of x. (i) x lt 3 (ii) x gt -1 (iii) x ge 2 (iv) x lt -1

Find (i) sin C (ii) cos C and (iii) tan C in the adjacent triangle.

Find the values of x^2 for the given values of x. (i) x lt 2 (ii) x gt -1 (iii) x ge 2 (iv) x lt -1

In the following figures DE || BC. (i) Find EC (ii) Find AD

A and B are two events such that P(A) = 0.54, P(B) = 0.69 and P(A nn B) = 0.35 Find (i) P(A uu B (ii) P(A' nn B') (iii) P(A nn B') (iv) P(B nn A')