Which angle measure less than or equal to 360° is equivalent to an angle of 17pi/4
Answer:
Therefore, The required measure of the angle is 45°
Step-by-step explanation:
\(\text{The angle is given to be : }\frac{17\pi}{4}\)
Now, the value of angle π is equivalent to 180°
So, finding the value of the given angle in degrees
\(\implies\text{The degree measure of the given angle = }\frac{17}{4}\times 180=765\)
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°