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If two straight lines intersect each …

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

    • Posted by Md Kaif 2 years, 8 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Manaswini ??? 2 years, 8 months ago

    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.

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