Math, asked by nandini1233378, 1 year ago

prove that the sum of all angles around a point is 360 degree

Answers

Answered by riyaswaroop
4

Hey mate, Here is your answer.. Hope it helps you..... Be brainly.....…

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Answered by throwdolbeau
1

Answer:

The proof is explained step-wise below :

Step-by-step explanation:

Let AB & CD be lines intersecting at O.

Now, Sum of two angles forming a linear pair is supplementary.

⇒ m∠AOC + ∠AOD = 180°  .........(1)

Also, m∠BOC + m∠BOD = 180° ..........(2)

Adding the equations,

m∠AOC + ∠AOD + m∠BOC + m∠BOD = 180° + 180°  

                                                                = 360°

Therefore, all angles around O sum up to 360°

Hence Proved.

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