1-5: Angle Relationship. Definitions: adjacent angles – angles that share a vertex and a side. vertical angles – nonadjacent angles formed by intersecting.

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Presentation transcript:

1-5: Angle Relationship

Definitions: adjacent angles – angles that share a vertex and a side. vertical angles – nonadjacent angles formed by intersecting lines. –always congruent. linear pair – adjacent angles that form a line.

Definitions (cont.): complementary angles – two angles whose measures add up to 90 degrees. supplementary angles – two angles whose measures add up to 180 degrees. perpendicular lines – lines that intersect to form 4 right angles.

EX 1:Find each of the following vertical angles adjacent angles linear pairs

EX 2: Given <FAT and <TAD form a linear pair, m<FAT=3x+5 and m<TAD=5x+5. Find m<TAD.

EX 3: Given that line AB and line CD are perpendicular, and ray EF bisects <AED. Find m<CEF

EX 4: If m<DER=3x+5, find x.

Assignment: p. 42; 11-19, 23-35