In Fig, OA . OB = OC . OD. Show that `angle A=angle C` and `anlge B=angleD`.

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that angle A > angle C and angle B > angle D .

Show that each angle of a rectangle is a right angle.

In Fig. 7.8, OA = OB and OD = OC. Show that (i) Delta AOD cong Delta BOC and (ii) AD || BC.

In given fig. Rays OA, OB, OC, OD and OE have common initial point O. Show that angleAOB + angleBOC + angleCOD + angleDOE + angleEOA = 360^@ .

In given fig. , Rays OA, OB, OC, OD and OE have common initial point O. Show that angleAOB + angleBOC + angleCOD + angleDOE + angleEOA = 360^@ .

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB (see Fig. 8.14). Show that (i) angle DAC = angle BCA and (ii) ABCD is a parallelogram.

In Fig. 7.21, AC = AE, AB = AD and angle BAD = angle EAC . Show that BC =DE.

Find angle x in Fig.

In the triangle ABC, lines OA,OB and OC are drawn so that angles OAB, OBC and OCA are each equal to omega , prove that cotomega=cotA+cotB+cotC

In the fig. we have angle1=angle3 and angle2=angle4 show that angleA=angleC