Foundations of Geometry

General Geo

100

two angles whose sum is 90 degrees

complementary

200

2 points on the same line

collinear

300

an exact location

point

400

opposite angles

vertical angles

500

vertical angles must be equal in _______

measure/degrees

Angle Types

100

angles next to each other

adjacent

200

opposite angles

vertical angles

300

two angles whose sum is 180 degrees

supplementary

400

a pair of adjacent angles whose non-common sides are opposite rays

linear pair

500

angles of a linear pair form a ___ angle

straight

Practice Problems

100

m<JKR=54x+1, m<JKL=114x+1, and m<RKL=60. Find m<JKR

m<JRK=55

200

AB=12, AC=5x-2 and BC= -2+x. Find BC

BC=1

300

m<VLM=155 an m<KLM=175. Find m<KLV

m<KLV=330

400

Find m<FGH if m<MGH=5+15x, m<FGM=78 and m<FGH=41x+5

m<FGH=123

500

Find x if AC=139, AB=2x-57, CD=95 and BD=x+117

x=218