Selected exercises from Art of Problem Solving Pre-Algebra Chapter 10.3

Going into detail on a tricky math problem from Art of Problem Solving's Pre-Algebra book

Concept - Transversals Transversals - line that cuts across parallel lines and creates angles with the same measure. One way to see why is to imagine sliding line $\overleftrightarrow{D F}$ on top of $\overleftrightarrow{C G}$ so that point $B$ is on top of point $A$. Then, $\angle ABF$

Concepts Points, Segments, Lines, Rays, Angles Depiction of a point. Normally labeled with capital letters: Line segment or segment: straight path from one point to another. Line: a segment that continues forever in both directions. Ray: Segment that continues forever past only one endpoint: Angles: made by two intersecting lines

Key points Commutative property of multiplication Let a and b be numbers. Then $$ab = ba $$ Associative property of multiplication Let a, b, and c be numbers. Then $$(ab)c = a(bc)$$ Multiplication by 1 Multiplication by 1 Let a be a number. Then $$1a = a$$ Order of operations What'