Question

Find an angle which is one third of its reflex angle.

Answer 1

Let's assume x is the desired angle.

Then its reflex angle is= (360-x)

By the given relation the equation which can be formed is-

(360-x)/3 = x

-->4x=360

-->x = 90

Answer 2

Answer:

An angle which is one third of its reflex angle is 90 degrees

Step-by-step explanation:

A reflex angle is the angle that is greater than 180 degrees and less than 360 degrees

Let the angle to be determined be A

So,

The reflex angle will be 360 - A

According to question,

Angle is one third of reflex angle

One third of reflex angle = ( 360 - A ) / 3

So,

A = ( 360 - A ) / 3

Multiplying both the sides by 3,

3A = 360 - A

3A + A = 360

4A = 360

A = 360 / 4

A = 90

Hence,

An angle which is one third of its reflex angle is 90 degrees