A regular decagon has all its interior angles equal. What is the measure of each interior angle of a regular decagon? Choose the correct answer.
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
In a regular pentagon, what is the measure in degrees 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: each interior angle = \(\frac{(n-2) \times 180^\circ}{n}\).
Identify the number of sides in the polygon. For a pentagon, \(n = 5\).
Substitute \(n = 5\) into the formula: each interior angle = \(\frac{(5-2) \times 180^\circ}{5}\).
Simplify the numerator: \((5-2) = 3\), so the expression becomes \(\frac{3 \times 180^\circ}{5}\).
Calculate the fraction \(\frac{3 \times 180^\circ}{5}\) step-by-step to find the measure of each interior angle.
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