Question

ABCDis a rectangle and x and y are points on sides AD and B.C such that AY=BX.

SHOW THAT <ABX=<BAY

no spamsss​

Answer 1

in triangleABX AND ABY

AB=AB COMMAN SIDE

<XAB=<YBA EACH 90°

BX=AY GIVEN

tri

Answer 2

given:ABCD is a rectangle x and y are the point on AD and BC such that AY=BX

To prove :<ABX=<BAY

PROOF:in triangle ABX and triangle BAY

AB=BA (common)

AY=BX (given )

<BAY=<ABY (each of 90°)

so,triangle ABX congruent to triangle BAY (by SAS criteria )

so, <ABX=<BAY (C.P.C.T)

Hence proved.

hope it helps you. ......