Question

Which angle measure less than or equal to 360° is equivalent to an angle of 17pi/4

Answer 1

The correct answer is

45 degrees

:)

Answer 2

Therefore, The required measure of the angle is 45°

Explanation:

`\text{The angle is given to be : }(17\pi)/(4)`

Now, the value of angle π is equivalent to 180°

So, finding the value of the given angle in degrees

`\implies\text{The degree measure of the given angle = }(17)/(4)* 180=765`

Now, the angle is 765°

We need to find the angle which measures less than or equal to 360° and is equivalent to 765°

765 = 360 × 2 + 45°

So, 360° angle is 45° less than the given angle.

Therefore, The required measure of the angle is 45°