In the adjacent figure `BE bot` DA and CD`bot`DA then prove that m`angle1 ~= m angle3`.

In the adjacent figure angle BAC=90^(@) and AD bot BC then

In the adjacent figure AB || CD, EF bot CD and angleGED = 126^(@) , find angleAGE, angleGEF and angleFGE .

In the adjacent figure, Delta ABC is right angled at C and DE bot AB . Prove that Delta ABC ~ Delta ADE and hence find the lengths of AE and DE ?

In the figure, if BD bot AC and CE bot AB , prove that (i) Delta AEC~ Delta ADB " " (ii) (CA)/(AB)=(CE)/(DB)

In the adjacent figure, ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE^(2)=3AC^(2)+5AD^(2).

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 adjacent figures, If angle1 = angle3, angle2 = angle4 and angle3 = angle4 write the relations between angle1 and angle2 using an Euclid's postulate.

In the adjacent figure AB || CD, CD || EF and y : z = 3 : 7, find x.