Given a triangle with sides , , opposite angles , , respectively, which equation can be used to find using the Law of Sines?
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
7. Non-Right Triangles
Law of Sines
Multiple Choice
Quadrilateral RSTU is a parallelogram. If angle R measures degrees and angle S measures degrees, what must be the value of ?
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Verified step by step guidance1
Recall that in a parallelogram, opposite angles are equal, and adjacent angles are supplementary (their measures add up to 180 degrees).
Identify the given angles: angle S measures 70 degrees, and angle R measures x degrees.
Since angles R and S are adjacent angles in parallelogram RSTU, set up the equation for supplementary angles: \(x + 70 = 180\).
Solve the equation for \(x\) by subtracting 70 from both sides: \(x = 180 - 70\).
Conclude that the value of \(x\) is the difference found, which satisfies the properties of a parallelogram.
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