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 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, AB || QR, angleBAQ = 142^(@) and angleABP = 100^(@) . Find (i) angleAPB (ii) angleAQR "and (iii)" angleQRP

ABCD is a quadrilateral in which AD=BC and angleDAB = angleCBA . Prove that: (i) triangleABD ~= triangleBAC (ii) BD = AC (iii) angleABD = angleBAC

In the given figure, AC || BD and CE || DF . If OA = 12 cm , AB = 9 cm , OC = 8 cm and EF = 4.5 cm , find OE.

Find the area of sector, whose radius is 7 cm. with the given angle : i. 60^(@) ii. 30^(@) iii. 72^(@) iv. 90^(@) v. 120^(@)

In the given figure, diagonals AC and BD of quadrilateral ABCD interset at O such that OB = OD. If AB = CD, then show that : (i) ar (DOC) = ar (AOB) (ii) ar (DCB) = ar (ACB) (iii) DA || CB or ABCD is a parallelogram .

Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)] Find each of the following: (i) A+B (ii) A-B (iii) 3A-C (iv) AB (v) BA

In the given figure, name (i) any six points (ii) any five line segments (iii) any four rays (iv) any four lines (v) any four collinear points