Question

In the given figure, find the pair of adjacent angles-

Answer 1

Hint: An angle is the measurement of space between two coinciding lines, rays or line segments. When one of the arms of two angles is common, they are said be adjacent to each other.

Step-by-step answer:
In the figure given, we have to find the angles which have a common arm between them and are next to each other. We can easily see that there are three pairs of angles that are adjacent to each other. These angles are as follows-

$\mathrm{\angle }DAF$ and $\mathrm{\angle }BAC$
$\mathrm{\angle }EBD$ and $\mathrm{\angle }ABC$
$\mathrm{\angle }FCE$ and $\mathrm{\angle }BCA$

These three pairs are adjacent angles. This is the required answer.

Note: In this figure, we can also see that the sum of the angles is ${180}^o$. But it is not necessary that adjacent angles also have their sum as ${180}^o$. They can have any value.