Final answer:
The statement is False because in a triangle, the sum of all three angles is always 180 degrees. If one angle is fixed, the other two angles cannot vary inversely with each other.
Step-by-step explanation:
The statement that one angle of a triangle is kept fixed, and the other two angles vary inversely with each other is False.
In a triangle, the sum of all three angles is always 180 degrees. If one angle is fixed, the other two angles cannot vary inversely with each other. Instead, they will still need to add up to 180 degrees together.
For example, if angle A is fixed at 60 degrees, then the sum of angles B and C must be 120 degrees to add up to 180 degrees.