Given that lines a and b are parallel, and lines e and f are also parallel, if angle is , what is the measure of the corresponding angle formed by the intersection of lines e and f with a transversal?
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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
In a right triangle, if angle is one of the non-right angles and the other non-right angle measures , what is the measure of angle ?
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B
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Verified step by step guidance1
Recall that in any triangle, the sum of the interior angles is always \(180^\circ\).
Since the triangle is a right triangle, one of the angles is \(90^\circ\).
Let the measure of angle \(ONP\) be \(x\). The other non-right angle is given as \(50^\circ\).
Set up the equation for the sum of angles: \(x + 50^\circ + 90^\circ = 180^\circ\).
Solve for \(x\) by subtracting \(50^\circ\) and \(90^\circ\) from \(180^\circ\): \(x = 180^\circ - 90^\circ - 50^\circ\).
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