Question

In the adjoining figure if O be the midpoint of AB and angle OAC is equal to angle OBD prove that AC is equal to BD​

Answer 1

Answer:

We have, AO=BO(O IS THE MIDPOINT OF AB). (1)

ANGLE OAC= ANGLE OBD. (GIVEN) (2)

Step-by-step explanation:

IN ∆OAC and ∆OBD ,we have

ANGLE OAC = angle OBD (from 2)

AO=BO. (from 1)

Angle AOC= ANGLE BOD (vertically opposite angle)

By ASA ∆OAC congruent to ∆OBD

when ∆OAC congruent to ∆OBD,

AC=BD (C.P.C.T)