Question

please solve it step to step​

Answer 1

Answer:

Given that-:

<OAC=<OBD(vertical opposite angle)

BD =BD (common)

OA=OB

therefore <OAC is congruent to <OBD

And AC =BD by cpct(congruent parts of congruent triangles)

Answer 2

$\:$

$\large \big \rm \underline \bold{QUESTION}$

$\:$

In the adjoining figure, if O is the midpoint of AB and angle OAC = angle OBD. Prove that AC = BD.

$\:$

$\large \big \rm \underline \bold{CONCEPT}$

★ CASE I :-

$\:$

Angle AO = Angle BO [ O is the midpoint of AB]. We can see in the figure that angle OAC is vertically opposite of angle OBD. So,

Angle OAC is congreunt to angle OBD.

Therefore, angle AC = BD.[ congreunt angles of congreunt triangle ]

adjoining

$\:$

Angle AC = Angle BD

$\:$

Joyful learning!!!! ⛅