Angles and Angle Classification
Draw the following:
Line AB
Line segment BC
Ray FG
LEQ: How do we classify angles?
An angle is the union of two rays that share a
common endpoint.
There are 4 ways to name an angle:
CED
DEC
E
3
Acute angles
have measures
between 0 and
90 degrees
Right angles
have measures
of exactly 90
degrees
(indicated by a
small square)
Obtuse angles
have measures
between 90
and 180
degrees
Straight Angle – an angle measuring 180
degrees
Right angle
Straight angle
Acute angle
Obtuse angle
Congruent angles are angles of the same
measure(indicated by identical markings)
Similar to the ruler postulate, if point B is in
the interior of
AOC, then
m
COB+m
BOA=m
COA
(<AOC)
Vertical angles are opposite congruent angles
created by the intersection of two lines
<1 and <3 are vertical
angles
<2 and <4 are vertical
angles
Adjacent angles are angles that share a
common side, common vertex, and no common
interior points.
<KIH and <KIJ are adjacent angles
Complementary angles are two angles who’s
measures sum to 90
.
<TSU and <USV are
complementary angles.
If m<TSU=42
, what is m<USV?
<TSU is the
complement
of
<USV
Supplementary angles are two angles who’s
measures sum to 180
.
<TSU and <USV are supplementary angles.
<TSU is the
supplement of
<USV.
If m<TSU=120
,
what is m<USV?
Use the adjacent angles below to solve the
following:
m<HOK = 4x-6, m <KOB=6x+2, find x and
m<HOK.
Line up the bottom of the protractor with a side of the angle and center of
angle with center of protractor. Extend the line of the other side and read the
degree.
p.40-41, 1-8,15,17,19,24-32 odds,43,45
Explore the world of angles with illustrations of lines, rays, and segments. Learn about acute, right, obtuse, and straight angles, as well as concepts like congruent and vertical angles. Discover how to name angles and understand their measures based on degrees in a clear and structured manner.
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Presentation Transcript
Draw the following: Line AB Line segment BC Ray FG
An angle is the union of two rays that share a common endpoint.
There are 4 ways to name an angle: CED DEC E 3
Acute angles have measures between 0 and 90 degrees
Right angles have measures of exactly 90 degrees (indicated by a small square)
Obtuse angles have measures between 90 and 180 degrees
Right angle Straight angle Acute angle Obtuse angle
Congruent angles are angles of the same measure(indicated by identical markings)
Similar to the ruler postulate, if point B is in the interior of AOC, then m COB+m BOA=m COA (<AOC)
Vertical angles are opposite congruent angles created by the intersection of two lines <1 and <3 are vertical angles <2 and <4 are vertical angles
Adjacent angles are angles that share a common side, common vertex, and no common interior points. <KIH and <KIJ are adjacent angles
Complementary angles are two angles whos measures sum to 90 . <TSU and <USV are complementary angles. If m<TSU=42 , what is m<USV? <TSU is the complement of <USV
Supplementary angles are two angles whos measures sum to 180 . <TSU and <USV are supplementary angles. <TSU is the supplement of <USV. If m<TSU=120 , what is m<USV?
Use the adjacent angles below to solve the following: m<HOK = 4x-6, m <KOB=6x+2, find x and m<HOK.
Line up the bottom of the protractor with a side of the angle and center of angle with center of protractor. Extend the line of the other side and read the degree.
