2. In Fig. 6.40, X = 62°, XYZ = 54°. If YO and ZO are the bisectors of XYZ and XZY respectively of XYZ, find OZY and YOZ.
We have
X = , XYZ =
YO and ZO bisects the XYZ and XZY
Now, In XYZ, by using angle sum property
XYZ + YZX + ZXY =
So, YZX =
YZX =
and, OYZ = also, OZY =
Now, in OYZ
Y + O + Z = [Y = and Z = ]
So, YOZ =