Question

prove that opposite angle are equal​

Answer 1

Answer:

here you go

Step-by-step explanation:

⇒∠AOC=∠BOD. From the figure, we can see that the angles ∠AOC and ∠BOD are vertically opposite angles. So, we have proved that if two lines intersect each other, then the vertically opposite angles are equal.

hope it helps you

please mark me as brainlist

Answer 2

Answer:

To prove= Angle ABD= ANGLE ACD

GIVEN= AD INTERSECT AT LINE BC

proof = In∆ ABD AND∆ ACD

AD= AD(GIVEN)

BD=CD(MID POINT THEOREM)

LET ANGLE BAD=X+Y

AND AGAIN ANGLE CAD=X=Y

SO, RHS ARE EQUAL THAN LHS ALSO BE EQUAL

THEREFORE, ∆ABD=∆ACD

ANGLE ABD =ANGLE ACD(BY CPCT) PROVED