Answer:
x = 168.75°
Step-by-step explanation:
Angle Measurement Units
To convert from different units for angle measurements, we have to recall that:
180 degrees = π radians
If we are given the angle in degrees, multiply by π/180 to convert it to radians.
If the angle is given in radians, multiply by 180/π to convert to degrees.
We are given the angle:
[tex]\displaystyle x=\frac{15}{16}\pi[/tex]
Multiplying by 180/π:
[tex]\displaystyle x=\frac{15}{16}\pi\cdot \frac{180}{\pi}[/tex]
Simplifying:
[tex]\displaystyle x=\frac{15*180}{16}[/tex]
x = 168.75°
