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The given statement is true or false:

In a ΔABC, if [∠C = 3∠B = 2(∠A+∠B)], then the three angles are (A = 20°), (B = 40°) and (C = 120°).

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- To solve this question, we need to know the fact that the sum of all the three angles of a triangle is equal to exactly 180°.
Now, we will assume that

and convert Angles B and C in terms of

based on the conditions mentioned in theQuestion statement. Then, we will form a linear equation of a single variable

with the summation of these angles being equated to 180°, and solving for

will give us our desired answer.
Given, [∠C = 3∠B = 2(∠A+∠B)],
Question Image

Hence, the correct answer is (A = 20°), (B = 40°) and (C = 120°).
Thus, the given statement is true.

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