Question

Consider the following statements:
When two straight lines intersect:
1. Adjacent angles are complementary
2. Adjacent angles are supplementary
3. Opposite angles are equal
4. Opposite angles are supplementary

Of these statements

• A. (ii) and (iii) are correct
• B. (i) and (iv) are correct
• C. (i) and (iii) are correct
• D. (ii) and (iv) are correct

Answer 1

The correct option is A (ii) and (iii) are correct


(i) When two straight lines intersect adjacent angles are complementary:
The statement is incorrect as adjacent angles form linear pair which are supplementary.

(ii) When two straight lines intersect adjacent angles are supplementary as they form linear Pair
$\therefore$ Statement (ii) is correct.

(iii) When two straight lines intersect opposite angles are equal.
The statement is correcrt because they form vertically opposite angles which are equal.
$\therefore$ Statement (iii) is correct.

(iv) When two straight lines intersect opposite angles are supplementary.
The statement is incorrect as they form vertically opposite angles which are equal.

Hence, option (b) is correct.