Question

Which of the following are adjacent angles?

• A. $\angle$ SEU and $\angle$ NET
• B. $\angle$ UEN and $\angle$ SET
• C. $\angle$ NET and $\angle$ SEN
• D. $\angle$ UET and $\angle$ NET

Answer 1

The correct option is C $\angle$ NET and $\angle$ SEN

If two angles have a common arm, a common vertex and the non common arms are on different sides of the commmon arm, they are called adjacent angles.

Let's consider all the given pair of angles.

• $\angle SEU$ and $\angle NET$ have a common vertex E but do not have a common arm.
• $\angle UEN$ and $\angle SET$ have a common vertex E but do not have a common arm.
• $\angle NET$ and $\angle SEN$ share a common arm EN, a common vertex E and the non common arms ES and ET are on the different sides of EN.
• $\angle UET$ and $\angle NET$ share a common arm ET, a common vertex E but the non common arms EU and EN are not on the different sides of ET.

Hence $\angle NET$ and $\angle SEN$ are adjacent angles.