Given a circle with center O and points E and H on the circumference such that the central angle measures , what is the measure of arc EH?
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 angle measures , what is the measure of angle if and are supplementary angles in standard position?
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Verified step by step guidance1
Recall that supplementary angles are two angles whose measures add up to 180 degrees. This means if two angles are supplementary, their sum is 180°.
Identify the given angle measure: angle \( \angle DEF \) measures 75°.
Since \( \angle CFD \) and \( \angle DEF \) are supplementary, set up the equation: \( \angle CFD + \angle DEF = 180^\circ \).
Substitute the known value into the equation: \( \angle CFD + 75^\circ = 180^\circ \).
Solve for \( \angle CFD \) by subtracting 75° from both sides: \( \angle CFD = 180^\circ - 75^\circ \).
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