Multiple Choice
In a right triangle, if angle K measures and angle L measures , what is the measure of arc KL on the unit circle corresponding to angle K?
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2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
Which of the following angle measurements might you find in a right triangle?
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Verified step by step guidance1
Recall that a right triangle is defined as a triangle that has exactly one right angle, which measures \(90^\circ\).
Understand that the sum of the interior angles in any triangle is always \(180^\circ\).
Check each given angle measurement to see if it can be an angle in a right triangle: \(100^\circ\), \(120^\circ\), \(90^\circ\), and \(180^\circ\).
Note that angles greater than \(90^\circ\) (like \(100^\circ\) and \(120^\circ\)) are obtuse angles, and a triangle cannot have both a right angle and an obtuse angle because the sum would exceed \(180^\circ\).
Recognize that \(180^\circ\) cannot be an angle in a triangle because it represents a straight line, not an angle inside a triangle, so the only possible right triangle angle from the list is \(90^\circ\).
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