Question

one angle of an isosceles triangle measures 120°. what measures are possible for the other two angles? choose all that apply. 70° 30° 75° 120°

Explanation:

Step1: Analyze the property of triangle angles

The sum of interior angles of a triangle is \(180^{\circ}\). In an isosceles triangle, two angles are equal.

Step2: Check if \(120^{\circ}\) can be one of the equal angles

If two angles are \(120^{\circ}\), then \(120^{\circ}+120^{\circ}=240^{\circ}>180^{\circ}\), which is not possible. So the \(120^{\circ}\) angle is the unique angle.

Step3: Calculate the other two equal angles

Let the other two equal angles be \(x\). Then \(120^{\circ}+2x = 180^{\circ}\). Solving for \(x\):

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Answer:

\(30^{\circ}\)