Question

please answer the question​

Answer 1

Step-by-step explanation:

we can prove this by triangle similarity as both are the right angles triangle they are similar triOAY similar to triOBZ

1) HENCE OY=OZ

2)AY=BZ

3)OY=OZ

HENCE THE GIVEN RESULT IS PROVED

Answer 2

Step-by-step explanation:

In triangle XOY and XOZ

XO=XO ( comman side)

YO=ZO(given)

angle XOY=angle XOZ(each angle 90°)

By SAS congurant criterion

∆XOYcongurant∆XOZ

now by CPCT XY=XZ

Angle XYZ=Angle XZY(bcoz angle opp. to equal sides are also equal)....(I)

now in triangles AOY and BOZ

OY=OZ( given)

angle A=angle B ( each angle 90°)

angle Y =angle Z ( from I )

By AAS congurant criterion

the triangles are congurant

By CPCT AO=BO