Question

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If two straight lines intersect each other then prove that the ray opposite to the bisector of one angle so formed bisects the vertically opposite angle.

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Answer 1

Answer:

Answer

Proof : AB, CD and PQ are straight lines which intersect in O. Thus, the ray opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle. Similarly, the bisector of ∠ AOD also bisects the ∠ Boc.

Step-by-step explanation:

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Answer 2

Answer:

Answer ⤵️

Given AB and CD are straight lines which intersect at O. OP is the bisector of ∠AO.

To prove: OQ is the bisector of ∠BOD.

Proof: AB, CD and PQ are straight lines which intersect in O.

∠AOP=∠BOQ(vertically opposite angles)

∠COP=∠DOQ(vertically opposite angles)

∠AOP=∠COP(OP is the bisector of ∠AOC)

∴∠BOQ=∠DOQ

Thus, the rate opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle. Similarly, the bisection of ∠AOD also bisects the ∠BOC.

s, 24x7

3

3

+2

27

+

3

7

Step-by-step explanation:

Hope this helps you ✌️