Answer:
TRUE: A, B, C
False: D
Explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
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A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians