Question

To prove that sum of measure of angle of triangle is 180​

Answer 1

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 \overleftrightarrow {PQ} parallel to the side BC of the given triangle.

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Answer 2

By EULER'S formula,

Measure of all angles of a quadrilateral = (n-2)×180°

where "n" = no. of sides.

No. of sides in a triangle = 3

So, measure of all angles of a triangle = (3-2)×180° = 1×180° = 180°.

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