(1.8) Angle Pair Relationships

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Expectation
Almost
Does Not
Meets
Meets
Meet
Expectation Expectation Expectation
Identify the relationship and find
measurements of vertical angles.
Identify the relationship and find
measurements of a linear pair.
Find the measurement of complementary
and supplementary angles.

Use the diagrams below to identify vertical angles and linear pairs.
Linear pairs?
Linear pairs?
Vertical angles?
Vertical angles?
Teacher Comment

For each diagram, use the terms adjacent, linear pair, vertical angles, or none of
the above to describe the two numbered angles.

Use the drawing below to answer the following questions.
(1)
List an angle adjacent to EGD.
(2)
List an angle not adjacent to EGD.
(3)
List the angle vertical to BGA.
(4)
List the other pair of vertical angles.
(6)
Which angle forms a linear pair with BGD?
(7)
Which angle forms a linear pair with AGE?
(8)
Name two adjacent angles that form a linear pair.
(9)
Name two adjacent angles that do not form a linear pair.

Find the value of the variables. Then find the measurements of all four angles.

Sketch a picture that represents each scenario. Solve for the variable and find the
missing measures. Show all work.
1.
Angle TOM forms a linear pair with MOP. If mTOM = (7 y  3) , mMOP
= (9 y  7) , find mTOM and mMOP.
2.
Lines ⃡DE and ⃡FG intersect at point H. Suppose mDHF = (62 – 5x)°, mEHG =
(2 + 7x)°, and mDHG = (12y – 13)°. Find the values of x and y.
12º
67º
90º
108º
Complement
(Sum = ______)
Supplement
(Sum = ______)

Use the drawing below to answer the following questions.
(1)
Name a pair of complementary angles.
(2)
Name two right angles.
(3)
What angle is supplementary to XMW?
(4)
What angle is supplementary to WMT?
(5)
What is the mYMX?

(1)
FINDING ANGLES: ∠A and ∠B are complementary. ∠C and ∠D are
supplementary. Find the angle measurements.
m∠A = (5x + 8)º
m∠B = (x + 4)º
(2)
m∠C = (6x – 1)º
m∠D = (5x – 17)º
171º
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