Question

In figure 3.48, point A is on the bisector of <XYZ.
If <X = 2 cm then find< Z.​

Answer 1

Ay is the bisector of <xyz

so, <ayx = <ayz .......(1)

In tri.ayx and tri.ayz

<axy = < azy (each of 90°)

Ay =Ay (common )

<ayx = <ayz (from eq.1 )

tri.ayx is congruent tri.ayz (AAS similarity )

AX = AZ ( By C.P.C.T.C )

AX =2 cm

and AX =AZ = 2 CM

HENCE ,AZ = 2 Cm

Answer 2

Answer:

<x = 2 ✅

<Z = 2 ........[as per angle bisector theorem]

°•° triangle YXA congruent to triangle XZA .....{sss test of congruence}