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Honors Geometry Section 1.3 part2
Special Angle Pairs
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Let’s consider several special pairs of angles.
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Complementary angles are two angles whose measures have a
sum of 90 degrees.
Each angle is called a __________ of the other.
complement
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Supplementary angles are two angles whose measures have a
sum of 180 degrees.
Each angle is called a ___________ of the other.
supplement
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Example 1: Complete the chart.
27 11745 45
)90( x )180( x
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18018573 xx
375.19
1558
180258
x
x
x
875.114
125.65
Bm
Am
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Example 3: The measure of an angle is 10 less than three times the measure of its complement. Find the measure of both angles.
supplement x-180
compliment90
angle
x
x x 10)90(3 x
65
2604
103270
x
x
xx
25 & 65
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Two angles are adjacent if they have the same vertex and share a
side in common.
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A linear pair is two angles which are adjacent and whose noncommon
sides form a straight line.
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Postulate 1.3.5: Linear Pair Postulate
If two angles form a linear pair, then they are supplementary.
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Example 4: Name all angles that form a linear pair with .BMA
AME
BMD
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7
195
1957
180157
1803186
x
x
x
xx186 x
3x