CAT 2010 | Question: 4

Question

Consider the following statements :

When two straight lines intersect, then :

1. adjacent angles are complementary
2. adjacent angles are supplementary
3. opposite angles are equal
4. opposite angles are supplementary

Of these statements:

• A. (I) and (III) are correct
• B. (II) and (III) are correct
• C. (I) and (IV) are correct
• D. (II) and (IV) are correct

Answer 1

Reference:https://d1avenlh0i1xmr.cloudfront.net/large/cca60fdd-ef75-4ce5-8cd7-25f7c97ebb12/2-theorem-6.1---vertically-opposite-angles-are-equal.jpg

 

 

Adjacent angle:

$\angle 1 + \angle 2 = 180^{\circ}$

$\angle 2 + \angle 3 = 180^{\circ}$

$\angle 3 + \angle 4 = 180^{\circ}$

$\angle 4 + \angle 1 = 180^{\circ}$

We can say that adjacent angle are supplementary.

So, the correct answer is $(B).$

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