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An angle is the intersection of two rays with a common endpoint.
An angle is named:
 using three letters, where the
middle letter is the vertex.
(<ABC or <CBA)
 using one letter, its vertex
(<B)
An acute angle is an
angle whose measure is
less than 90°
A right angle is an angle
whose measure is 90°.
An obtuse angle is an
angle whose measure is
more than 90°, but less
than 1800
A straight angle is an
angle whose measure is
180°.
A reflex angle is an
angle whose measure is
more than 180°.
Adjacent Angles are 2
angles that share a
common vertex, a
common side and no
common interior points.
<1 and <2 are
adjacent angles.
<1 and <ABC are
NOT adjacent.
(<ABC overlaps
<1)
Vertical Angles are 2
angles whose sides form
two pairs of opposite
rays (straight lines).
THEOREM: Vertical angles are
congruent.
Complementary Angles
are 2 angles the sum of
whose measures is 90°.
THEOREM: Complements of
the same angle, or congruent
angles, are congruent.
Supplementary Angles
are 2 angles the sum of
whose measures is 180°.
THEOREM: Supplements of
the same angle, or congruent
angles, are congruent.
A Linear Pair is 2
adjacent angles whose
non-common sides form
opposite rays.
THEOREM: If two angles form
a linear pair, they are
supplementary.
THEOREM: If two congruent
angles form a linear pair, they are
right angles.
<1 and <3 are
vertical angles.
<2 and <4 are
vertical angles.
<1 and <2 are NOT
vertical.
<1 and <2 are
complementary.
< XYZ and <1 are
NOT
complementary.
(the rays are
perpendicular)
<1 and <2 are
supplementary.
The line passing
through points A,
B, and C is a
straight line.
<1 and <2 form a
linear pair.
The line passing
through points A,
B, and C is a
straight line.
<1 and <2 are
supplementary.
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