Find the measure of each marked angle. See Example 2.
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
Complementary and Supplementary Angles
Multiple Choice
If an angle measures , which of the following angles is complementary to it?
A
B
C
D
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Verified step by step guidance1
Recall the definition of complementary angles: two angles are complementary if the sum of their measures is exactly 90 degrees.
Given one angle measures \(1^\circ\), let the complementary angle be \(x^\circ\).
Set up the equation based on the definition: \(1^\circ + x^\circ = 90^\circ\).
Solve for \(x\) by subtracting \(1^\circ\) from both sides: \(x = 90^\circ - 1^\circ\).
Calculate \(x\) to find the complementary angle measure, which will be \(89^\circ\).
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