EXAMPLE 1 Finding an Angle Measure 1 and 2 are complementary, and m 2 = 32. Find m 1. SOLUTION m 1+...
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EXAMPLE 1 Finding an Angle Measure 1 and 2 are complementary, and m 2 = 32. Find m 1. SOLUTION m 1+ m 2 = 90 32 m 1+ = 90 m 1 = 58 Definition of complementary angles Subtract 32 from each side. Substitute 32 for m 2.
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Transcript of EXAMPLE 1 Finding an Angle Measure 1 and 2 are complementary, and m 2 = 32. Find m 1. SOLUTION m 1+...
EXAMPLE 1 Finding an Angle Measure
1 and 2 are complementary, and m 2 = 32. Find m 1.
SOLUTION
m 1+ m 2 = 90
32m 1+ = 90
m 1 = 58
Definition of complementary angles
Subtract 32 from each side.
Substitute 32 for m 2.
GUIDED PRACTICE for Example 1
Tell whether 1 and 2 are complementary, supplementary, or neither.
1. m 1 = 79
m 2 = 101
SOLUTION
m 1+ m 2
= 79° + 101°
ANSWER
Hence, the angles are supplementary.
= 180
GUIDED PRACTICE for Example 1
Tell whether 1 and 2 are complementary, supplementary, or neither.
2. m 1 = 64
m 1 = 36
SOLUTION
m 1+ m 2
= 100°
= 64 + 36
ANSWER
Hence, 1 and 2 are neither complementary nor supplementary.
GUIDED PRACTICE for Example 1
Tell whether 1 and 2 are complementary, supplementary, or neither.
3. m 1 = 52
m 1 = 38
SOLUTION
m 1+ m 2
= 52 + 38
= 90
ANSWER
Hence, 1 and 2 are complementary.
GUIDED PRACTICE for Example 1
Tell whether 1 and 2 are complementary, supplementary, or neither.
4. m 1 = 44
m 1 = 46
SOLUTION
m 1+ m 2
= 90
ANSWER
Hence, 1 and 2 are complementary.
= 44 + 46
GUIDED PRACTICE for Example 1
Tell whether 1 and 2 are complementary, supplementary, or neither.
5. m 1 = 53
m 1 = 47
SOLUTION
m 1+ m 2
= 100
= 53 + 47
ANSWER
Hence, 1 and 2 are neither complementary nor supplementary.
GUIDED PRACTICE for Example 1
Tell whether 1 and 2 are complementary, supplementary, or neither.
6. m 1 = 95
m 1 = 85
SOLUTION
m 1+ m 2
= 180
= 95 + 85
ANSWER
Hence, the angles are supplementary.
