Transcript Warmup Section 1.6: Measuring angles

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.




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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)
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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

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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