Question

1. find the missing angle and classify the triangle 65°? 57°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the missing angle be \(x\). Then \(x + 65^{\circ}+57^{\circ}=180^{\circ}\).

Step2: Solve for the missing angle

$$
LATEXBLOCK0
$$

Step3: Classify the triangle

Since all angles (\(65^{\circ}\), \(57^{\circ}\), \(58^{\circ}\)) are less than \(90^{\circ}\), the triangle is an acute - angled triangle. Also, since all angles are of different measures, the triangle is a scalene triangle.

Answer:

The missing angle is \(58^{\circ}\). The triangle is an acute - angled scalene triangle.