Question

find the reflex angle corresponding to each of the following angle of 150 degree.​

Answer 1

Reflex angles are angles measuring greater than 180 degrees and less than 360 degrees. The measure of a reflex angle is added to an acute or obtuse angle to make a full 360 degree circle. Reflex angle is 315°.

Answer 2

Given: The angle $150^o$

To find: The reflex angle corresponding to the given angle.

Solution:

The reflex angle is referred to as that angle which is less than $360^o$. A reflex angle contains a corresponding angle that lies to the other side. The corresponding angle and the reflex angle together make $360^o$. In other words, a reflex angle always has an acute, obtuse, or right-angle on the other side that is an angle less than $180^o$.

According to the definition,

Reflex angle + Corresponding angle $=360^o$

⇒ Reflex angle = $360^o$ - corresponding angle

Here, the corresponding angle is given as $=150^o$

⇒ Reflex angle = $360-150$

∴ Reflex angle = $210^o$

Final answer:

The reflex angle corresponding to the angle $150^o$ is $210^o$