Given two parallel lines cut by a transversal, if one of the alternate interior angles measures , what is the measure of the corresponding alternate interior angle?
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
Given that an equilateral triangle and an isosceles triangle share a common side, and the triangle is equilateral, what is the measure of angle in degrees?
A
B
C
D
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Verified step by step guidance1
Recall the definition of an equilateral triangle: all three sides are equal in length, and all three interior angles are equal.
Since triangle ABC is equilateral, each interior angle must be the same. The sum of interior angles in any triangle is 180 degrees.
Divide the total sum of angles (180 degrees) by the number of angles (3) to find the measure of each angle in the equilateral triangle.
Express this calculation as: \(\frac{180}{3}\) degrees, which gives the measure of angle \(\angle ABC\).
Conclude that the measure of angle \(\angle ABC\) in the equilateral triangle is 60 degrees.
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