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DIRECTION : In the following questions, a statement of assertion (A) is followed by a
statement of reason (R). Mark the correct choice as:
Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 1440.
Reason : Two angles are said to be supplementary if their sum of measure of angles is 1800.
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
We know that two angles are said to be supplementary if their sum of measure of angles is 1800.
So, Reason is correct.
Let the angle be x . Supplement of x = (¼)x
So,
So, Assertion is also correct.
Also, reason (R) is the correct explanation of assertion (A).
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
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Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Explanation:


The assertion states that the supplement of an angle is one-fourth of itself, and the measure of the angle is 1440. The reason states that two angles are said to be supplementary if their sum of measure of angles is 1800. To determine whether the assertion and reason are true or false, we need to understand the meanings of supplement and supplementary angles.

Supplement:
The supplement of an angle is the angle that, when added to the given angle, results in a total angle measure of 1800.

Supplementary angles:
Two angles are said to be supplementary if their sum of measure of angles is 1800.

Now, let's analyze the assertion and reason.

Assertion (A): The supplement of angle is one fourth of itself. The measure of the angle is 1440.
This means that if x is the measure of the angle, then its supplement will be 4x, and we are given that 4x = 1440. Solving for x, we get x = 360. Therefore, the measure of the angle is 3600.

Reason (R): Two angles are said to be supplementary if their sum of measure of angles is 1800.
This definition is correct. Two angles are supplementary if their sum of measure of angles is 1800.

Since both assertion and reason are true, and reason is the correct explanation of the assertion, the correct answer is option 'A'.
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DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 1440.Reason : Two angles are said to be supplementary if their sum of measure of angles is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 1440.Reason : Two angles are said to be supplementary if their sum of measure of angles is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 1440.Reason : Two angles are said to be supplementary if their sum of measure of angles is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 1440.Reason : Two angles are said to be supplementary if their sum of measure of angles is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
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