Question

1 multiple choice 4 points in this triangle, what is the measure of \\( \angle c \\)?

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). In \(\triangle ABC\), \(\angle B = 90^{\circ}\) (right - angle), \(\angle A=58^{\circ}\), and we need to find \(\angle C\).

Step2: Use the angle - sum formula

We know that \(\angle A+\angle B+\angle C = 180^{\circ}\). Substitute \(\angle A = 58^{\circ}\) and \(\angle B = 90^{\circ}\) into the formula:

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Answer:

B. \(32^{\circ}\)