Question

1. find the missing angle and classify the triangle 155° 60°?

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(155^{\circ}\) is \(180^{\circ}- 155^{\circ}=25^{\circ}\)

Step2: Calculate the missing angle

Using the triangle - angle sum theorem (\(A + B + C=180^{\circ}\)), let the missing angle be \(x\). We know two angles: \(25^{\circ}\) and \(60^{\circ}\). Then \(x=180^{\circ}-(25^{\circ}+60^{\circ})\)

$$x = 180^{\circ}-85^{\circ}=95^{\circ}$$

Step3: Classify the triangle

Since one of the angles (\(95^{\circ}\)) is greater than \(90^{\circ}\), the triangle is an obtuse triangle.

Answer:

The missing angle is \(95^{\circ}\) and the triangle is an obtuse triangle.