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Prove that the bisector of angel …

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Prove that the bisector of angel of linear pair at 90 degree angle

Posted by Aryan Pathak 8 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Kritika Trehan 8 years, 5 months ago

To prove: Angle A/2 + angle B/2 = 90 degree

Linear pair of angles are supplementary.

Therefore, ∟A + ∟B = 180 ⁰

∟A = A/2 + A/2 [ bisecting linear pairs]

∟ A + ∟ B = 180 ⁰

∟A/2 + ∟A/2 + ∟B/2 + ∟B/2 = 180 ⁰

2 ∟A/2 + 2 ∟B/2 = 180 ⁰

2 [ ∟A/2 + ∟B/2 ] = 180 ⁰

∟A/2 + ∟B/2 = 180/2

∟A/2 + ∟B/2 = 90 ⁰

1Thank You

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