Question

∆XYZ is an isosceles triangle in which XY = XZ.
Side YX is produced to P such that XP = XY. Show that ∟YZP is a right angle.

Answer 1

Answer:

∠Z=∠X

Since, XY=YZ

i. e., ΔXYZ is an isosceles triangle

Also, we know that the angles opposite to equal sides of an isosceles triangle are equal

Thus, if XY=YZ, then ∠Z=∠X.