In a right triangle, what is the definition of of an angle ?
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
If the sum of the interior angles of a polygon is , how many sides does the polygon have?
A
B
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D
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Verified step by step guidance1
Recall the formula for the sum of the interior angles of a polygon with \( n \) sides:
\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]
Set the given sum of interior angles equal to the formula:
\[ 1080^\circ = (n - 2) \times 180^\circ \]
Divide both sides of the equation by \( 180^\circ \) to isolate \( n - 2 \):
\[ \frac{1080^\circ}{180^\circ} = n - 2 \]
Simplify the left side to find \( n - 2 \):
\[ 6 = n - 2 \]
Add 2 to both sides to solve for \( n \):
\[ n = 6 + 2 \]
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