Question

what type of triangle is this? all triangles have an angle sum of 180°. triangle with angles 41° and 39° a acute triangle b obtuse triangle c right triangle

Explanation:

Step1: Find the third angle

The sum of angles in a triangle is \(180^\circ\). Given two angles are \(41^\circ\) and \(39^\circ\), so the third angle \(x = 180^\circ-(41^\circ + 39^\circ)\).
\(x=180^\circ - 80^\circ=100^\circ\)

Step2: Classify the triangle

An obtuse triangle has one angle greater than \(90^\circ\). Since \(100^\circ>90^\circ\), the triangle is obtuse.

Answer:

B. Obtuse triangle