Question

1. classify △abc by its angles if m∠a = 32 and m∠b = 58. right isosceles obtuse equilateral

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let \(m\angle A = 32^{\circ}\), \(m\angle B=58^{\circ}\), and \(m\angle C\) be the third - angle. Then \(m\angle A + m\angle B+m\angle C = 180^{\circ}\).

Step2: Calculate \(m\angle C\)

Substitute the values of \(m\angle A\) and \(m\angle B\) into the angle - sum formula: \(m\angle C=180-(m\angle A + m\angle B)=180-(32 + 58)=180 - 90=90^{\circ}\).

Step3: Classify the triangle by its angles

A triangle with one right angle (an angle equal to 90°) is a right - triangle.

Answer:

right