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I will be able to identify vertical angles and linear pairs. I will be able to find missing measurements using the fact that vertical angles are equal and linear pairs = 180 I will be able to find missing measures using the ideas of complementary and supplementary
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Warm Up Either log on to insight360.einstruction.com or
come and ask me for a clicker to answer the following question.
Only state yes or no using insight360. Write down your explanation or counterexample in your notes
Angle Relationships
Lesson 5
Outcomes I will be able to identify vertical angles and linear
pairs. I will be able to find missing measurements using
the fact that vertical angles are equal and linear pairs = 180
I will be able to find missing measures using the ideas of complementary and supplementary
Complementary Angles Complementary angles: Complementary
angles are two angles whose measures have the sum of 90 degrees.
Complementary angles are not angles that have nice things to say about each other.55°
35°
Complementary Angles Which set of angles are complementary?
60°30°
30° 30°30°
40° 50°You’reacuteangle! Thank you for the
compliment.
A.)
C.)
B.)
D.)
Supplementary Angles Supplementary angles Supplementary angles
are two angles whose measures have the sum of 180 degrees.
45° 135°
Vertical Angles Vertical angles: Vertical angles consist of two
angles whose sides form two pairs of opposite rays.
I think of these as the opposite angles in the picture.
1
2
Vertical angles theorem
Vertical Angles are always congruent!
What would the value of x be?
115°x°
Vertical angles theorem
Vertical Angles are always congruent!
What would the value of x be?
(3x + 50)°(8x + 35)°
Linear Pairs What does the name Linear Pair suggest? Linear pair: A linear pair consists of two adjacent
angles whose noncommon sides are opposite rays.
Translation: form a straight line or angle! So a linear pair is two adjacent angles that are
supplementary!
Linear Pairs What would the value of x be?
115° x°
Linear Pairs What would the value of x be?
(3x+3)°(2x-8)°
Put it all together Name the relationship of the angle measures.
A. Complementary
B. Congruent
C. Supplementary
D. None of the above
Put it all together Name the relationship of the angle measures.
A. Complementary
B. Congruent
C. Supplementary
D. None of the above
Put it all together Name the relationship of the angle measures.
A. Complementary
B. Congruent
C. Supplementary
D. None of the above
Put it all together Name the relationship of the angle measures.
A. Complementary
B. Congruent
C. Supplementary
D. None of the above
Put it all together Name the relationship of the angles.
A. Adjacent Angles
B. Complementary
C. Linear Pair
D. Vertical Angles
Put it all together Name the relationship of the angles.
A. Adjacent Angles
B. Complementary
C. Linear Pair
D. Vertical Angles
Put it all together Name the relationship of the angles.
A. Adjacent Angles
B. Complementary
C. Linear Pair
D. Vertical Angles
Put it all together Name the relationship of the angles.
A. Adjacent Angles
B. Complementary
C. Linear Pair
D. Vertical Angles
Put it all together Find the value of x.
Put it all together Find the value of y.
y
Exit Ticket Homework
Find the value of x.
Pg. 47: 8-36, 41-52, 66-72