Math, asked by pranitaroynayan, 7 months ago

prove the angel sum property of a triangle​

Answers

Answered by sureshshiva
0

Answer:

ok hmmmmm

Step-by-step explanation:

Answered by UMASK
0

MARK ME AS BRAINLIEST

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Theorem:

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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Proof:

Since AB is a transversal for the parallels L and BC, we have

p = y (alternate interior angles)

Similarly,  q = z. Now, p, x and q must sum to 180°

p + x + q = 180°

y + x + z = 180°

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Who Discovered:

The sum of the angles of a hyperbolic triangle is less than 180°. The relation between angular defect and the triangle's area was first proven by Johann Heinrich Lambert.

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