Question

1. which best describes the type of triangle?

40° 35° - picure

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate the third angle

Let the third angle be \(x\). So, \(x = 180^\circ - 40^\circ - 35^\circ\) \(= 105^\circ\).

Step3: Classify the triangle

A triangle with one angle greater than \(90^\circ\) (obtuse angle) is an obtuse triangle. Since \(105^\circ>90^\circ\), the triangle is obtuse. Also, all angles are different, so it's a scalene obtuse triangle (but the key is the obtuse angle for type here).

Answer:

The triangle is an obtuse triangle (specifically, a scalene obtuse triangle as all angles are different: \(40^\circ\), \(35^\circ\), and \(105^\circ\), with \(105^\circ\) being obtuse).