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3 years ago

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

Everything seems correct, I'm assuming you wanted confirmation

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Prove sum of interior angle triangle is 180

ryzh [129]

Given :- 

A triangle ABC .

To prove :- 

Sum of interior angles of a ∆ is 180° .

Construction :-

Draw a line MCN parallel to AB .
Extend line AB to K .

Proof :- 

In ∆ ABC , we have ,

$\angle$ BAC + $\angle$ BCA = $\angle$ CBK

As sum of two interior angles of a triangle is equal to the opposite exterior angle .

Also ,

$\angle$ ABC + $\angle$ CBK = 180°

( linear pair )

Hence from above two ,

$\angle$ ABC + $\angle$ BAC + $\angle$ ACB = 180°

Hence Proved ! 

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1234758
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