Math, asked by BornCxnfused, 6 months ago

solve



::::State and prove angle sum property of a triangle.​

Answers

Answered by lucky2571
2

Answer:

Proof:

Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ←→ parallel to the side BC of the given triangle.

Proof for Angle Sum Property of a Triangle

Since PQ is a straight line, it can be concluded that:

∠PAB + ∠BAC + ∠QAC = 180° ………(1)

Since PQ||BC and AB, AC are transversals,

Therefore, ∠QAC = ∠ACB (a pair of alternate angle)

Also, ∠PAB = ∠CBA (a pair of alternate angle)

Substituting the value of ∠QAC and∠PAB in equation (1),

∠ACB + ∠BAC + ∠CBA= 180°

Thus, the sum of the interior angles of a triangle is 180

Answered by Anonymous
5

Answer:

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Step-by-step explanation:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. Proof: Consider a ∆ABC, as shown in the figure below.

To prove the above property of triangles, draw a line \overleftrightarrow {PQ} parallel to the side BC of the given triangle....

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