Having the same measure
Congruent
Ray BH is an angle bisector for angle ABC. ∠ABH = 11x + 4 and ∠HBC = 12x - 7. Find x.
X=11
Angle Bisector
A ray that divides an angle into two congruent angles.
A location represented by a dot
A Point
What is the measurement of angle x?
x = 35 degrees
An angle that is greater than 90o and less than 180o
Obtuse angle
Ray FD is an angle bisector for angle GFH. ∠GFD = 7x + 2 and ∠DFH = 3x + 22. Find x.
X=5
An angle less than 90o but more than 0o
Acute Angle
Two adjacent angles which have noncommon sides that are opposite.
Linear Pair
What are the measurements of angles x and y?
x + 150 = 180, so x = 30 degrees
x and y are vertical angles, so y = 30 degrees
Points that lie within the same line.
Collinear
Ray LT is an angle bisector for angle KLM. ∠KLM = 10x and ∠TLM = 2x+15.
Find x.
X=5
Coplanar
Points that lie in the same plane.
Find angles x and y
x = 120 degrees
y = 50 degrees
A line with a single end point or point of origin that extends infinitely in one direction
Ray
Ray SR is an angle bisector for angle PSQ. ∠PSR = 3x+1 and ∠PSQ = 74.
Find x.
X=12
Vertical Angles
Two nonadjacent angles formed by two intersecting lines.
What is the perimeter of this triangle?
x=5+2sqrt34
or x=16.66
Two angles with measures that add up to a sum of 180 degrees.
Supplementary Angles
Ray FD is an angle bisector for angle GFH. ∠GFD = 3x and ∠DFH = 2x - 6.
Find x.
X=-6
Adjacent Angles
Two angles that lie in the same plane, have a common vertex and a common side, but no common interior points.
What is the area of this triange?
x=12.5 units2