Given a right triangle with angles , , and , where is the right angle, if and , what is the measure of 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
In a regular polygon with sides, what is the measure of each interior angle?
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Verified step by step guidance1
Recall the formula to find the measure of each interior angle of a regular polygon with \( n \) sides:
\[ \text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n} \]
Identify the number of sides \( n \) in the polygon. Here, \( n = 4 \) since it is a regular polygon with 4 sides.
Substitute \( n = 4 \) into the formula:
\[ \text{Interior Angle} = \frac{(4 - 2) \times 180^\circ}{4} \]
Simplify the numerator first:
\[ (4 - 2) \times 180^\circ = 2 \times 180^\circ = 360^\circ \]
Divide the result by the number of sides to find each interior angle:
\[ \frac{360^\circ}{4} = 90^\circ \]
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