prove the angel sum property of a triangle
Answers
Answer:
ok hmmmmm
Step-by-step explanation:
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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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