In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: Two opposite angles of a parallelogram are (3𝑥−2)° and (50−𝑥)°. The measure of one of the angles is 37°.

Reason: Opposite angles of a parallelogram are equal.

Assertion (A) is true, but reason (R) is false.

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Assertion (A) is false, but reason (R) is true.

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Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

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Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).

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Solution

The correct option is D Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).

Two opposite angles of a parallelogram are (3𝑥−2)° and (50−𝑥)°.
According to the property of a parallelogram, opposite angles are equal.
Therefore, 3x - 2 = 50 - x
4x = 52
x = 13.
The angle of this parallelogram is (3𝑥−2)° = (3×13 - 2) = 37°.
Hence option a is correct.

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Assertion-and-Reason Type MCQ

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In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

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In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice: Assertion: Two opposite angles of a parallelogram are (3𝑥−2)° and (50−𝑥)°. The measure of one of the angles is 37°. Reason: Opposite angles of a parallelogram are equal.

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: Two opposite angles of a parallelogram are (3𝑥−2)° and (50−𝑥)°. The measure of one of the angles is 37°.

Reason: Opposite angles of a parallelogram are equal.