Question

a triangle has one angle that measures 80.9° and another that measures 8.5°. what kind of triangle is it? right obtuse acute

Explanation:

Step1: Find the third - angle measure

The sum of angles in a triangle is 180°. Let the third angle be $x$. Then $x=180-(80.9 + 8.5)$.
$x = 180 - 89.4=90.6^{\circ}$.

Step2: Classify the triangle

Since one angle ($90.6^{\circ}$) is greater than 90°, the triangle is an obtuse - angled triangle.

Answer:

obtuse