I am a closed shape made of 6 line segments. I have 2 angles less than a right angle and no right angles. What shape am I? Draw an example in the workspace.
I think a hexagon.
Hexagon
hexagon or octagon.
Hexagon
Based on the description given, you are a hexagon. A hexagon is a closed shape made up of six line segments.
To understand why, let's break it down. We know that you have two angles less than a right angle and no right angles. Each interior angle of a hexagon measures 120 degrees (360 degrees divided by 6). This means that all six angles of a hexagon are acute angles, which are angles less than 90 degrees but greater than 0 degrees.
To construct one possible example of a hexagon, you can draw six line segments joining their endpoints such that the interior angles formed are all acute but not right angles. Here's an example drawn in the workspace:
_______
/ \
/ \
/ \
/_____________\
In this example, each angle inside the hexagon is acute, and no angle measures 90 degrees or more.