An angle in standard position has its terminal side passing through the point with coordinates . Which of the following is the measure of the angle in degrees?
Table of contents
- 0. Review of College Algebra4h 45m
- 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
1. Measuring Angles
Angles in Standard Position
Multiple Choice
What type of angle is a angle in standard position?
A
Right angle
B
Acute angle
C
Obtuse angle
D
Reflex angle
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Verified step by step guidance1
Recall the definitions of angle types based on their measures in degrees: an acute angle is between 0° and 90°, a right angle is exactly 90°, an obtuse angle is between 90° and 180°, and a reflex angle is between 180° and 360°.
Identify the given angle measure, which is 154°.
Compare 154° with the angle type ranges: since 154° is greater than 90° but less than 180°, it falls within the range of an obtuse angle.
Conclude that a 154° angle in standard position is classified as an obtuse angle.
Note that angles greater than 180° but less than 360° would be reflex angles, which does not apply here.
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