Question

What type of angle pair can be described as “supplementary and adjacent”?

Answer 1

Hint: We are asked to find a pair of angles that are supplementary and adjacent. We solve the given question using the definitions of supplementary and adjacent angles. Then, we draw the diagram of supplementary and adjacent angles to get the desired result.

Complete step-by-step answer:
We are asked to find the pair of angles that are supplementary and adjacent. We will be solving the given question using the definition of supplementary and adjacent angles.
In geometry, a vertex is a point where two or more lines r edges meet. It is usually denoted by capital letters such as A, B.
In geometry, a side can be defined as the line segment joining two vertices of a shape.
The angles that have a common vertex and a common side are called adjacent angles. They do not overlap.
The pair of adjacent angles are represented in the diagram as follows,

From the figure,
$\angle 1,\angle 2$ are the pair of adjacent angles.
O is the common vertex for the angles.
OB is the common side for the angles.
The pair of angles whose sum is equal to 180 are called supplementary angles.
The pair of supplementary angles are represented in the diagram as follows,

The sum of the two angles in the figure adds up to 180. They are supplementary angles.
Now,
We need to find the pair of supplementary adjacent angles.
The pair of angles that are adjacent and whose sum is equal to 180 are called adjacent supplementary angles.
The pair of adjacent supplementary angles are represented in the diagram as follows,

In the above figure,
The two angles share a common vertex B and a common side BC.
The sum of two angles is equal to 180.
Hence, the above figure represents a pair of adjacent supplementary angles.

Note: In geometry, we should be very careful with the naming conventions of angles, rays, and line segments. A protractor is a tool in geometry used to draw and measure angles. We should be precise while drawing an angle or a line in geometry to get precise results.