Question

Assertion : If the sum of two adjacent angles is $180°$ then the non-common arms of the angles form a line.
Reason : If a ray stands on a line, then the sum of two adjacent angles so formed is $180°$ of these statements:
Which of the following is correct:

• A. Both A and R are true and R is the correct explanation of A.
• B. Both A and R are true and R is not the correct explanation of A.
• C. A is true and R is false.
• D. A is false and R is true.

Answer 1

The correct option is A

Both A and R are true and R is the correct explanation of A.

Explanation of assertion:

If the sum of two adjacent angles is $180°$ then the non-common arms of the angles form a line.

As it forms a straight angle that is equal to $180°$.

Explanation of reason:
If a ray stands on a line, then the sum of two adjacent angles so formed is $180°$. As they form a straight angle.

The reason is the correct explanation of the assertion.

Hence, both A and R are true and R is the correct explanation of A.

Therefore, option (A) is the correct answer.