Question

Question 53

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 tow angles can't vary inversely with each other.
e.g. $\Delta ABC,\angle A+\angle B+\angle C={180}^{\circ }$ $[\therefore$ sum of all angles of a triangle is ${180}^{\circ }$]
If $\angle A={50}^{\circ }.$ then $\angle B+\angle C={180}^{\circ }-{50}^{\circ }={130}^{\circ }$
So, it is not depend on any proportion by applying angle sum properties of a triangle.