Question

if two lines are intersect then vertically opposite angles are


a) not equal

b) equal

c) parallel

d) perpendicular​

Answer 1

Answer:

if two lines are intersect then vertically opposite angles are

a) not equal

b) equal

c) parallel

d) perpendicular

Answer: b)Equal.

Answer 2

b ) equal is the answer

Step-by-step explanation:

We know that the sum of angles lying on a straight line is 180∘.

Let us consider the angles on the line CD. So, we get ∠COB+∠BOD=180∘.

⇒∠COB=180∘−∠BOD ---(1).

Now, let us consider the angles on the line AB. So, we get ∠COB+∠AOC=180∘ ---(2)

Let us substitute equation (2) in equation (1).

So, we get 180∘−∠BOD+∠AOC=180∘.

⇒∠AOC=180∘−180∘+∠BOD.

⇒∠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.