Question

State and prove angle sum property of triangle

Answer 1

Answer:

Theorem 1: Prove that sum of all three angles is 180° or 2 right angles.

Given: ∆ABC.

To prove: ∠A + ∠B + ∠C = 180°

Construction: Draw PQ || BC, passes through point A.

Proof: ∠1 = ∠B and ∠3 = ∠C ……. ( i) [∵ alternate angles ∵ PQ || BC] ∵ PAQ is a line. ∴∠1 + ∠2 + ∠3 = 180° (linear pair application) ∠B + ∠2 + ∠C = 180°

Step-by-step explanation:

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Answer 2

ANSWER

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. Proof: ... To prove the above property of triangles, draw a line \overleftrightarrow {PQ} parallel to the side BC of the given triangle

Step-by-step explanation:

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