Question

It's not possible for an angle and it's supplementary angle to be part of a triangle. Give reasons.

Answer 1

Answer:

It is because a supplementary pair is equal to 180° and according to the triangles law the sum of all the three angles of a triangle is supposed to be 180°. So, if a triangle has a supplementary pair present in it, then the measure of the 3rd angle is supposed to be 0°. Another law of polygons state that a figure with overlapping lines or an angle measuring 0°/360° is not categorized as a polygon.

Thus, it isn't possible for a supplementary pair to be a part of a triangle.