If one angle of a, triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

Question

State whether the statement are true (T) or false (F).

If one angle of a, triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

Answer 1

False

If one angle of a triangle is kept fixed, then the measure of the remaining two angles can’t vary inversely with each other.

e.g. In ΔABC, ∠A + ∠B + ∠C = 180° [sum of all angles of a Δ]

If ∠A = 50°, then ∠B + ∠C = 180° -50° = 130°

So, it is not depending on any proportion by applying angle sum properties of a triangle.