Question

For the given figure, 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 ______.

Options

• both p and q are true

• p is true and q is false

• p is false and q is true

• both p and q are false

Answer 1

both p and q are true.

Explanation:

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.