Vocab 1
What is angle?
Angle whose measure is 0 < X < 90
What is acute angle?
According to the protractor postulate, every ray can be paired one to one with a real number from 0 to this number.
What is 180? (Postulate 1-7)
Two coplanar angles with a common side, a common vertex and no common interior points.
What is adjacent angles?
If the measure of angle RQT = 155, what are the measures of angle RQS and TQS?
RQS = 4x-20
TQS = 3x +14
Using angle addition postulate...
RQS + TQS = RQT
(4x-20) + (3x +14) = 155
7x-6 = 155
7x = 161
x = 23
The endpoint of the angle is called this.
What is the vertex?
Angle whose measure is x = 90.
What is right angle?
The measure of the angle is the absolute value of the difference of the real numbers paired with the 2 rays. The formula looks like this.
m of angle = |c-d|
Two angles whose sides are opposite rays
What is vertical angles?
Angle KPL and angle JPL are a linear pair. The measure of angle KPL = 2x +24, and the measure of angle JPL = 4x +36. What are the measures of angle KPL and angle JPL.
They are congruent and = 180 degrees.
(2x +24) + (4x +36) = 180
6x+60 = 180
6x = 120
x = 20
Substitute 20 for X.
JPL = 116, KPL = 64
You can name an angle by:
Its vertex,
A point on each ray and the vertex,
A number
What is Obtuse Angle?
According to the angle addition postulate, if point B is in the interior of measure of angle AOC, then measure of angle AOB + measure of angle BOC =
measure of angle AOC.
Two angles whose measures have a sum of 90.
What is complementary angles?
By this, we know angles are congruent.
The region containing all of the points between the two sides of the angle.
What is interior?
Angle whose measure is X = 180.
What is straight angle?
According to the linear pair postulate, if two angles form a linear pair, then they are _____.
supplementary.
Two angles whose measures have a sum of 180.
What is supplementary angles?
Linear pair angles are always...
What is Supplementary and = 180 and adjacent?
The region containing all of the point outside of the angle.
What is exterior?
Angles with the same measure are called this.
This is a pair of adjacent angles whose non common sides are opposite rays. Their angles form a straight angle.
What is Linear Pair?
A ray that divides an angle into two congruent angles.
Vertical angles are never this.
What is Adjacent angles?