Question

how many obtuse angles does the polygon below appear to have?

Explanation:

Step1: Recall obtuse angle definition

An obtuse angle is greater than $90^\circ$ and less than $180^\circ$.

Step2: Analyze the trapezoid

The polygon is a trapezoid (isosceles trapezoid). In a trapezoid with the top base shorter than the bottom base, the two angles adjacent to the top base: when we look at the trapezoid, the upper two angles (between the non - parallel sides and the top base) are obtuse. The lower two angles (between the non - parallel sides and the bottom base) are acute. So we count the obtuse angles.

Answer:

2