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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.
Assertion : Two opposite angles of a parallelogram are (3x - 2º) and (50 - x)º . The measure of one of the angle is 37º.
Reason : Opposite angles of a parallelogram are equal.
  • a)
    Assertion and reason are true and reason is the correct explanation of assertion.
  • b)
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • c)
    Assertion is true but reason is false.
  • d)
    Assertion is false but reason is true.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: In each of the following questions, a statement of Asserti...
Since, opposite angles of a parallelogram are equal.
Therefore, 3x - 2 = 50 - x
x = 13
One angle is 37º
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Most Upvoted Answer
Direction: In each of the following questions, a statement of Asserti...
Assertion: Two opposite angles of a parallelogram are (3x - 2º) and (50 - x)º. The measure of one of the angles is 37º.
Reason: Opposite angles of a parallelogram are equal.

Explanation:
To determine the correctness of the given assertion and reason, we need to analyze each statement separately.

Statement 1: Assertion
We are given that two opposite angles of a parallelogram are (3x - 2º) and (50 - x)º. We need to find the measure of one of the angles, which is 37º.

Statement 2: Reason
The reason states that opposite angles of a parallelogram are equal.

Analysis:
Let's analyze the given information and determine the measure of the angles.

We are given that the opposite angles of the parallelogram are (3x - 2º) and (50 - x)º. We need to find the measure of one of the angles, which is 37º.

We can set up the equation as follows:
(3x - 2º) = 37º

Solving this equation, we get:
3x = 39º
x = 13º

Now, substituting the value of x in the second angle, we have:
(50 - x)º = (50 - 13)º = 37º

Conclusion:
From the analysis, we can conclude that the measure of one of the angles is indeed 37º, which matches the given angle in the assertion. Additionally, we also determined that the opposite angles of a parallelogram are equal, which aligns with the reason provided.

Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.

Hence, the correct answer is option A.
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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : Two opposite angles of a parallelogram are (3x - 2º) and (50 - x)º . The measure of one of the angle is 37º.Reason : Opposite angles of a parallelogram are equal.a)Assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?
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