In the diagram, point O is the center of the circle. If = , what is ?
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 one of the non-right angles (angle ) measures , what is the measure of the other non-right angle (angle )?
A
It is not possible for a non-right angle in a right triangle to measure .
B
C
D
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Verified step by step guidance1
Recall that in a right triangle, one angle is exactly 90\(\degree\), and the sum of all three angles must be 180\(\degree\).
Given that one of the non-right angles is 141\(\degree\), check if this is possible by adding it to the right angle: 90\(\degree\) + 141\(\degree\) = 231\(\degree\), which already exceeds 180\(\degree\).
Since the sum of the right angle and the given non-right angle is greater than 180\(\degree\), this violates the triangle angle sum property, making the given angle impossible in a right triangle.
Therefore, it is not possible for a non-right angle in a right triangle to measure 141\(\degree\).
If the angle were valid, you would find the other non-right angle by subtracting the sum of the known angles from 180\(\degree\) using the formula: \(\text{other angle} = 180\degree - 90\degree - \text{given angle}\).
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