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Question
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
Options
True
False
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Solution
This statement is False.
Explanation:
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 triangle is 180°]
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.
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