Question

For Fig, statements p and q are given below: 

p : a and b are forming a linear pair. 

q : a and b are forming a pair of adjacent angles. 

Then, 

(a) both p and q are true 

(b) p is true and q is false 

(c) p is false and q is true 

(d) both p and q are false

Answer 1

(a) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

∴ a and b are pair of adjacent angles and form a linear pair.