In the context of right triangles and their angles, which term best describes a pair of angles that are both and ?
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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
A regular polygon with sides is inscribed in a circle. What is the measure of each interior angle of the polygon?
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B
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Verified step by step guidance1
Recall that a regular polygon has all sides and all interior angles equal.
Use the formula for the measure of each interior angle of a regular polygon with n sides: \(\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}\).
Substitute \(n = 6\) (since the polygon has 6 sides) into the formula: \(\text{Interior Angle} = \frac{(6-2) \times 180^\circ}{6}\).
Simplify the expression step-by-step: calculate \((6-2) = 4\), then multiply \(4 \times 180^\circ = 720^\circ\), and finally divide \(720^\circ\) by \(6\).
The result gives the measure of each interior angle of the regular hexagon.
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