Question

In pair of adjacent angles which of the following options are correct regarding the statements given below?

(i) Vertex is always common.

(ii) One arm is always common.

(iii) Uncommon arms are always opposite rays

• A. All are true
• B. (iii) is false
• C. (i) is False but (ii) and (iii) are true
• D. (ii) is false

Answer 1

The correct option is B

(iii) is false

Explanation for the correct option:

Properties of Adjacent Angles

1. They always share a common vertex.
2. They always have one arm in common.
3. The non-common arms are on either side of the common arm.

Statement (iii) may not always be true because the adjacent angles may have any value and consequently, their uncommon arms may be rotated in any direction.

Hence, option B is correct.