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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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
In kite KLMN, if angle K is and angle L is , what is the measure of angle LMN?
A
B
C
D
Verified step by step guidance1
Recall that in any quadrilateral, the sum of all interior angles is \$360^\circ$.
Identify the given angles in kite KLMN: \(\angle K = 49^\circ\) and \(\angle L = 99^\circ\).
Understand that in a kite, two pairs of adjacent sides are equal, and one pair of opposite angles (usually between unequal sides) are equal. Use this property to relate the angles if possible.
Set up the equation for the sum of the angles: \(\angle K + \angle L + \angle M + \angle N = 360^\circ\).
Use the kite's properties and the given angles to express \(\angle M\) and \(\angle N\) in terms of each other or known values, then solve for \(\angle LMN\) (which is \(\angle M\)) by substituting the known values and simplifying.
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