Multiple Choice
If ray is rotated counterclockwise about the origin to coincide with ray in standard position, and the measure of angle is degrees, how many degrees has been rotated counterclockwise about the origin?
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1. Measuring Angles
Angles in Standard Position
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If an angle in standard position has a measure of , what is the measure of its supplement?
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Verified step by step guidance1
Recall that two angles are supplementary if the sum of their measures is 180 degrees.
Let the given angle be \( \theta = 95^\circ \). We want to find its supplement, which we'll call \( \phi \).
Set up the equation for supplementary angles: \( \theta + \phi = 180^\circ \).
Substitute the known value: \( 95^\circ + \phi = 180^\circ \).
Solve for \( \phi \) by subtracting 95 degrees from both sides: \( \phi = 180^\circ - 95^\circ \).
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