Question

In figure, name all the pairs of adjacent angles

Answer 1

Hint:To solve this type of question we should have knowledge of what are the adjacent angles. That means we have to understand that two angles are said to be adjacent if they have a common side and a common vertex.

Complete step-by-step answer:
First we have to understand what angle is?
Angle: In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.
As per the definition two angles are Adjacent when they have a common side and a common vertex.
As per the figure there are 3 pairs of adjacent angles.
$$\begin{gathered} \left(i\right)\mathrm{\angle }ABE,\mathrm{\angle }ABC \\ \left(ii\right)\mathrm{\angle }BAC,\mathrm{\angle }CAD \\ \left(iii\right)\mathrm{\angle }ACB,\mathrm{\angle }BCF \end{gathered}$$
For better understanding we can say adjacent angles means two angles whose origin is the same or we can say the initial point or starting point of the rays forming those angles are the same.

Note: Whenever we get this type of question the key concept of solving is first we have to understand what is angle and also good understanding of adjacent angles then we will be able to find out total adjacent angles in this figure.