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**Angle Pair Relationships**

Chapter 1 Section 1.5 Angle Pair Relationships

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**1 and 2 form a linear pair**

m1 + m2 =180° Two adjacent angles form a linear pair if their noncommon sides are opposite rays. Form a straight angle. Any two angles that form a linear pair have a sum of 180°.

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Vertical Angles 1 2 3 4 1 and 3 are vertical angles 4 and 2 are vertical angles Two angles are vertical if their sides form two pairs of opposite rays. Vertical Angles are congruent

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**Use the figure to answer the questions**

Are 1 and 2 a linear pair? Yes Are 4 and 5 a linear pair? No Are 3 and 1 vertical angles? Are 2 and 5 vertical angles?

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**Use the figure to answer the questions**

If m6 = 51°, then m7 = _____ 129° -- Linear Pair If m8 = 103°, then m6 =_____ 103° -- Vertical Angels If m9 = 136°, then m8 =_____ 44° -- Linear Pair If m7 = 53°, then m9 =_____ 53° -- Vertical Angles

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**A and B are complementary**

Complementary Angles A 30° 60° B mA + mB = 90 ° A and B are complementary Two angles are complementary if their sum is 90°. Each Angle is the complement of the other

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**A and B are complementary**

Supplementary Angles A 120° 60° B mA + mB = 180 ° A and B are complementary Two angles are supplementary if their sum is 180°. Each angle is the supplement of the other

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**A and B are complementary and B and C are supplementary**

If mA = 48° then mB = _____ and mC = _____ mA + mB = 90° 48° + mB = 90° mB = 42° mB + mC = 180° 42° + mC = 180° mC = 138°

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**A and B are complementary and B and C are supplementary**

If mB = 83° then mA = _____ and mC = _____ mA + mB = 90° mA + 83° = 90° mA = 7° mB + mC = 180° 83° + mC = 180° mC = 97°

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**A and B are complementary and B and C are supplementary**

If mC = 127° then mB = _____ and mA = _____ mC + mB = 180° 127° + mB = 180° mB = 53° mA + mB = 90° mA + 53° = 90° mA = 37°

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**A and B are complementary and B and C are supplementary**

If mA = 25° then mB = _____ and mC = _____ mA + mB = 90° 25° + mB = 90° mB = 65° mB + mC = 180° 65° + mC = 180° mC = 115°

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**Find the value of the variable**

Vertical Angles are congruent Solve for x 2x + 40 = 110 2x = 70 x = 35° Solve for y y + 20° = 70° y = 50°

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**Find the value of the variable**

Linear Pairs are add up to 180° Vertical Angles are congruent x + 168° = 180° x = 12° y = 168°

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**Find the value of the variable**

Vertical Angles are congruent Solve for y 8y + 36 = 14y – 24 36 = 6y – 24 60 = 6y 10 = y Solve for x 48 + x = 64 x = 16

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**Homework #6 Pg 38: 1-7, 9-15 odd, 16, 17-27 odd, 28-35, 46-54, 57,61**

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