Given that angle is in standard position and its terminal side passes through the point , which is the approximate measure of 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
Given that and , which statement is true about these angles in standard position?
A
is a straight angle and is an obtuse angle.
B
is a right angle and is an acute angle.
C
Both and are acute angles.
D
is a straight angle and is an obtuse angle.
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Verified step by step guidance1
Recall the definitions of angle types based on their measures: an acute angle is less than 90°, a right angle is exactly 90°, an obtuse angle is between 90° and 180°, and a straight angle is exactly 180°.
Given that \(m\angle KLH = 120^\circ\), compare 120° to these categories. Since 120° is greater than 90° but less than 180°, \(\angle KLH\) is an obtuse angle.
Given that \(m\angle KLM = 180^\circ\), recognize that an angle measuring exactly 180° is a straight angle.
Match these classifications to the statements provided: \(\angle KLM\) is a straight angle and \(\angle KLH\) is an obtuse angle.
Conclude that the correct statement is the one that says \(m\angle KLM\) is a straight angle and \(m\angle KLH\) is an obtuse angle.
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