Angles. Angle and Points. An Angle is a figure formed by two rays with a common endpoint, called the vertex. ray. vertex. ray. Angles can have points in the interior, in the exterior or on the angle. A. B is the vertex. E. D. Points A, B and C are on the angle. B. C.
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An Angle is a figure formed by two rays with a common endpoint, called the vertex.
Angles can have points in the interior, in the exterior or on the angle.
B is the vertex.
Points A, B and C are on the angle.
D is in the interior
E is in the exterior.
Using 3 points:
Vertex must be the middle letter
This angle can be named as
Using 1 point:
Using only vertex letter
Using a number:
Use the notation m2, meaning the measure of 2.
Name all the angles in the diagram below
K is the vertex of more than one angle.
Therefore, there is NO in this diagram.
Name the three angles in the diagram.
an angle whose measure is less than 90.
an angle whose measure is exactly 90 .
an angle whose measure is between
90 and 180.
an angle that is exactly 180 .
The sum of the two smaller angles will always equal the measure of the larger angle.
m ____ + m ____ = m _____
Fill in the blanks.
m < ______ + m < ______ = m < _______
If you add m1 + m2, what is your result?
m1 + m2 = 58.
m1 + m2 = mADC
Therefore, mADC = 58.
K is interior to MRW, m MRK = (3x), m KRW = (x + 6) and mMRW = 90º. Find mMRK.
First, draw it!
3x + x + 6 = 90
4x + 6 = 90
– 6 = –6
4x = 84
x = 21
Are we done?
mMRK = 3x = 3•21 = 63º
Given that m< LKN = 145, find m < LKM and m < MKN
Given that < KLM is a straight angle, find m < KLN and m < NLM
Given m < EFG is a right angle, find m < EFH and m < HFG
An angle bisector is a ray in the interior of an angle that splits the angle into two congruent angles.
If two angles have the same measure, then they are congruent.
Congruent angles are marked with the same number of “arcs”.
is an angle bisector
Which two angles are congruent?
<JUK and < KUT or < 4 and < 6
Given bisects < XYZ and m < XYW = . Find m < XYZ
Given bisects < ABC. Find m < ABC