When two straight lines intersect adjacent angles are complementary B adjacent angles are supplementary c opposite angles are equal d opposite angles are supplementary?

(i) and (iii) are correct

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(ii) and (iii) are correct

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(ii) and (iv) are correct

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Let us draw the following diagram showing two straight lines AD and BC intersecting each other at a point O.

Now, let us consider each statement one by one:

(i) When two lines intersect adjacent angles are complementary.

This statement is incorrect

Explanation:

As the adjacent angles form a linear pair and they are supplementary.

(ii) When two lines intersect adjacent angles are supplementary.

This statement is correct.

Explanation:

As the adjacent angles form a linear pair and they are supplementary.

(iii) When two lines intersect opposite angles are equal.

This statement is correct.

Explanation:

As the vertically opposite angles are equal.

(iv) When two lines intersect opposite angles are supplementary.

This statement is incorrect.

Explanation:

As the vertically opposite angles are equal

Thus, out of all, (ii) and (iii) are correct.