Question

state and prove angle sum property of a triangle
$please \: \: tell$
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Answer 1

Answer:

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

prove

Start with the following triangle with arbitrary values for the angles:

Angle sum theorem

Since angle a, angle b, and angle c make a straight line,

angle a + angle b + angle c = 180 degrees

Since alternate interior angles are equal, angle a = angle x and angle b = angle y

Therefore, angle x + angle y + angle c = 180 degrees ...

Answer 2

Theorem 1: 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 PQ parallel to the side BC of the given triangle.