Classify Angle ABC: Analyzing a 67° and 25° Geometric Construction

To solve this problem, follow these steps:

• Step 1: Gather the known angles in the triangle.
• Step 2: Use the angle sum property of the triangle to find the unknown angle.
• Step 3: Identify the type of angle based on the angle measure.

Let's calculate:
Given angles are $25^\circ$ and $67^\circ$.
Step 1: Calculate $\angle ABC$ using the angle sum property:
$\angle ABC = 180^\circ - (25^\circ + 67^\circ) = 180^\circ - 92^\circ = 88^\circ$.
Since $\angle ABC = 88^\circ$, it is an obtuse angle.
An obtuse angle is any angle larger than $90^\circ$ and less than $180^\circ$.

Therefore, the type of angle ABC is Obtuse.