Match each angle measure in degrees with its equivalent measure in radians

To convert angle from radian measure to degree measure, multiply it by 180/π.

So,
a) 5π/4 in degree measure will be:

[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]

So, 5π/4 radian is equal to 225°.

b) 9π/5 in degree measure will be:

[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]

So, 9π/5 radian is equal to 324°.

c) 2π/3 in degree measure will be:

[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]

So, 2π/3 radian is equal to 120°.

d) 4π/9 in degree measure will be:

[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]

So, 4π/9 radian is equal to 80°.

e) 5π/6 in degree measure will be:

[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]

So, 5π/6 radian is equal to 150°.

f) 7π/4 in degree measure will be:

[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]

So, 7π/4 radian is equal to 315°.