Question

Which of the following pairs can form a linear pair?
a)Pair of complementary angles
b)Pair of supplementary angles
c)Pair of adjacent angles​

Answer 1

A linear pair is a pair of adjacent angles formed when two lines intersect. In the figure, ∠1 and ∠2 form a linear pair. So do ∠2 and ∠3 , ∠3 and ∠4 , and ∠1 and ∠4 .

Option C

Answer 2

Given :  pair of angles

To Find : Which of the following pairs can form a linear pair  

a)Pair of complementary angles

b)Pair of supplementary angles

c)Pair of adjacent angles​

Solution:

Supplementary angles

Two angles are supplementary if their measures add up to  180°

Complementary Angles

Two angles are complementary if their measures add up to 90°

Adjacent angles with opposite rays as noncommon sides are called the linear pair. They form a straight angle.

Angles that have a common vertex and a common side are called adjacent angles.

Pair of supplementary angles  and  Adjacent angles  can form a  linear pair

But Adjacent angles not necessarily form a linear pair as shown in figure

But Pair of supplementary angles always form a linear pair

Learn More:

14. Angles x&y forms a linear pair and x+2y = 30°, the value of y

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EFG and GFH are a linear​ pair, EFG = 3n+25​, and GFH 5n+35 ...

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