Question

in the goven figure, ABCD is a parallogram and line segments AX and CY bisects anglesA and C respectively... Show that AX || CY....

Answer 1

Hello Mate

Given : ABCD is parallelogram and AX and CY are angle bisectors.

To Prove : AX || CY

Proof : Since ABCD is parallelogram so its opp. angles are equal.

< A = < C

1 < A / 2 = 1 < C / 2

< 1 = < 3 __(1)

Since AB || CD

< 2 = < 3 [ Alternate angles ] __(2)

From 1 and 2 we get

< 1 = < 2

Hence, AY is transversal for such two lines AX and CY who corresponding angles are equal and hece AX || CY.

Q.E.D

Have great future ahead!

Answer 2

Answer:

Step-by-step explanation:

hope it helps