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Angle Relationships
90 and 180 degree angles……
• 90 degree angle:• 180 degree angle:
Types of angles……• Acute – angles less than 90 degrees.• Right – angles with exactly 90
degrees.
• Obtuse – angles greater than 90 degrees but less than 180 degrees.
• Straight – angles that are 180 degrees and form a line.
Identify these angles…..• A.
• B.
• C.
• D.
• A. Obtuse
• B. Right
• C. Acute
• D. Straight
Adjacent Angles……• Two angles that share a common side
are adjacent angles.
• Example:
Non-adjacent Angles……• Angles that do not share a common
side are non-adjacent angles.
• Example:
Supplementary• Two angles whose sum is 180.
Complementary• Two angles whose sum is 90.
Perpendicular• If 2 segments are perpendicular to
each other, then they form a 90 degree angle.
• The symbol for perpendicular is an upside down T.
• Example:
.90
2,toupaddmust
anglestheTherefore
kj
Let’s finish this problem...Remember that
.angleeach
ofvaluetheandxFind
kj
30
903
902
x
x
xx
30
603022 x
60
Find x, given that gf
11
555
90355
9025105
x
x
x
x
Vertical Angles……• Vertical Angles are two non-adjacent
angles formed by intersecting lines.
• Vertical Angles are congruent. (Equal)
43,
.43
21,
.21
mmSo
anglesverticalareand
mmSo
anglesverticalareand
Example……• Find the value of x.
63
685
x
x
Example…..• Find the PQRm
12
242
24810
x
x
xx
120)12(1010 xPQRm
Linear Pairs
Linear Pair – a pair of adjacent angles whose non-common sides form opposite rays.
1 2
∠1 and ∠2 form a linear pair.
A linear pair is supplementary – the angle measuresadd up to 180 degrees.
Find x:
30
1806
1805
x
x
xx
Homework• Angle Relationships Worksheet
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