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, ABCD is a cyclic quadrilateral where diagonals intersect at P such that angleDBC=40^(@) and angleBAC=60^(@) find (i) angleCAD (ii) angleBCD

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

In the adjoining figure, G, D, E, F are concyclic points of a circle with centre C . angleECF = 70^(@) m (arc DGF) = 200^(@) find (i) m arc DE (iii) m (arc DEF).

In the adjoining figure, (i) if m (arc CE) = 54^(@) , m (arc BD) =23^(@) , then find angleCAE . (ii) If AB = 4 . 2 , BC = 5 . 4 , AE = 12, then find AD (iii) If AB 3 . 6 , AC = 9 . 0 , AD = 5 . 4 , then find AE.