Question

The sum of all the four angles of a quadrilateral is _______°​

Answer 1

Answer:

Answer for this question is

360°

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Answer 2

Answer:

Theorem and Proof of angle sum property of a quadrilateral.

Prove that the sum of all the four angles of a quadrilateral is 360°. 

Proof: Let ABCD be a quadrilateral. Join AC. 

Clearly, ∠1 + ∠2 = ∠A ...... (i) 

And, ∠3 + ∠4 = ∠C ...... (ii) 

We know that the sum of the angles of a triangle is 180°. 

Therefore, from ∆ABC, we have

∠2 + ∠4 + ∠B = 180° (Angle sum property of triangle)

Step-by-step explanation:

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