Two angles that equal 90 degrees
complementary
The intersection of two sides of an angle
vertex
A flat surface that continues indefinitely in all directions
plane
If m<FCB=48,m<DCF=22x-2, and m<DCB=45x. Find x
x=-2
Two coplanar angles with a common side, a common vertex, and no common interior points
Adjacent Angles
An angles equal to 90 degrees
Right angle
colliner
m<CBA=147,m<MBA=115, find m<CBM
m<CBM=32
Two angles whose side are opposite rays
Vertical Angles
An angle that's less the 90 degrees
acute angle
When two points are not on the same line
non-collinear
Find m<UQP if m<RQU=31 and m<RQP=123
m<UQP=92
Two angles that measure have the sum of 180
Supplementary
A part of a line
line segment
when multiple points are on the same plane
coplanar
m<MCD=x+21,m<BCD=10x+7, and m<BCM=85. Find m<BCD
x=11
m<BCD=117
A pair of adjacent angles whose non-common sides are opposite rays.
Linear pair
the part of a straight line considered as originating at a point on the line and as extending in one direction from that point
ray
when multiple points are not on the same plane
non-coplanar
m<DCS=x+75,m<x=41,and DCB=106. find x
x=-5