Question

Q14. Prove that vertically opposite angle are equal.​

Answer 1

Step-by-step explanation:

Let MN and PQ are two lines intersect each other at point O.

So, angle AOQ + angle BOQ = 180° by liner pair - - - - - - - - - - - - 1

Similarly,

angle BOQ + angle POQ = 180° by liner pair ----------------2

Subtract 2 from 1st

Then we get,

angle AOQ = angle POQ

Hence proved

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Answer 2

If two lines intersect each other, then the vertically opposite angles are equal. Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal. Proof : ... So, let AB and CD be two lines intersecting at O as shown in Fig.