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?
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
1. Measuring Angles
Angles in Standard Position
Multiple Choice
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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