Mathematics
fds
32

The measurement of an angle is five times the measurement of its supplement.What is the measurement of the angle? Is it 30°, 35°, 40°, or 45°?

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karla519

Two angles that are supplements add up to 180°. "The angle" is five times its supplement. If I call the supplement 'S', then 'the angle' = 5S .                                        S + 5S  =  180° Combine like terms:      6S  =  180° Divide each side by  6 :  S  =  30° The supplement of 'the angle' = 30°. That's one of the choices. "The angle" = 5S  =  150°. That's NOT one of the choices.

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