Question

In the adjoining figure, which of the following pair of angles are not adjacent?

• A. $\angle 1$ and $\angle 2$
• B. $\angle 1$ and $\angle 3$
• C. $\angle 2$ and $\angle 3$
• D. $\angle 1$ and $\angle 4$

Answer 1

The correct option is B $\angle 1$ and $\angle 3$

$\underset{–}{\text{Adjacent Angles:}}$
Adjacent angles are the angles that share a common ray.


We will look at the options one by one.

(a.) $\angle 1$ and $\angle 2$ share the common ray $OB$.
Hence, they are adjacent angles.

(b.) $\angle 1$ and $\angle 3$ don't share any common ray.
Hence, they are not adjacent angles.

(c.) $\angle 2$ and $\angle 3$ share the common ray $OC$.
Hence, they are adjacent angles.

(d.) $\angle 1$ and $\angle 4$ share the common ray $OA$.
Hence, they are adjacent angles.

We were asked to find the pair of angles which are not adjacent.
Thus, option(b.) is correct.