Multiple Choice
In right triangle , if is the right angle, = , and (opposite ) = , what is the measure of angle ? Round to the nearest degree.
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2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
If the vertex angle of an isosceles triangle is , what is the measure of each base angle?
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Verified step by step guidance1
Recall that the sum of the interior angles of any triangle is always \(180^\circ\).
Identify the given angle: the vertex angle of the isosceles triangle is \(110^\circ\).
Since the triangle is isosceles, the two base angles are equal. Let each base angle be \(x\) degrees.
Set up the equation for the sum of angles: \(110^\circ + x + x = 180^\circ\).
Solve for \(x\): combine like terms to get \(110^\circ + 2x = 180^\circ\), then subtract \(110^\circ\) from both sides to find \(2x = 70^\circ\), and finally divide both sides by 2 to get \(x = 35^\circ\).
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