Question

angle sum property of triangle is ​

Answer 1

Angle sum property of triangle states that the sum of interior angles of a triangle is

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Answer 2

Angle sum property of triangle

It states that sum of angle of triangle is supplimentary.

Statement of theorem

Angle sum property of triangle states that the sum of interior angles of triangle is 180°.

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Proof of theorem

Given: a triangle ABC.

Construction: A parallel line of BC through A.

To prove: ∠ABC + ∠BCA + ∠CAB = 180°.

Proof: BC is parallel to a line from A.

So, ∠2 = ∠4 and ∠5 = ∠3

By adding these both equations,

∠2 + ∠3 = ∠4 + ∠5

∠2 + ∠3 + ∠1 = ∠4 + ∠5 + ∠1...[by adding ∠1]

∠1 + ∠2 + ∠3 = 180°

Therefore, sum of angle of triangle is 180°.