Yes, eg only regular polygons with an internal angle which divides evenly into 360 and only some of them, can tessellate the plane: Triangles (60), Squares (90) and Hexagons (120).
Octagons (45) and Dodecagons (30) can't.
The relationship is that they are supplementary angles because angles on a straight line add up to 180 degrees
bro angles hav lines in em
Total 180o
No, carpenters would not use tesselations.
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
They have the same measure - they are congruent.
The sum of the three angles is 180 degrees. There are other relationships that can be derived from this.
The sum of the interior angles of a triangle is equal to 180 degrees.
They are the same size
They must be the same.
Relationship between the lengths and the measures of angles are related to theorems like the opposite side of the largest angle is the largest side two equal angles oppositee sides are also equal
Relationship between the lengths and the measures of angles are related to theorems like the opposite side of the largest angle is the largest side two equal angles oppositee sides are also equal