Identify the angle relationships

Organize these angles into the right categories

Groups:

(a) Complementary

,

(b) Supplementary

,

(c) Adjacent

,

(d) Vertical

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• 
• 
• No numerical value between them

• Add up to 90 degrees

• Have the same measure

• Add up to 180 degrees

• 

Tags

CCSS.Math.Content.7.G.B.5

Identify the vertical angles.

• 4

• 6

• 5

Tags

CCSS.Math.Content.7.G.B.5

• y = 165

  because 15 + 165 = 180 and complementary angles add up to 180 degrees.

• y = 75,

  because 15 + 75 = 90 and complementary angles add up to 90 degrees

• y = 15,

  because complementary angles have the same measures.

Tags

CCSS.Math.Content.7.G.B.5

Which of the following shows a pair of supplementary angles? Select all that apply.

• 
• 
• 
• 

Tags

CCSS.7.G.B.5

Tags

CCSS.Math.Content.7.G.B.5

What is the measure of the angle that is supplementary to the given angle

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.5

Write and solve an equation.

Tags

CCSS.Math.Content.7.G.B.5

Solve for x

• x = 32, because 3 times 32 is 96 and 96 + 84 is 180

• x= 2, because 3 times 2 is 6 and 6 + 84 = 90

• x = 28, because 3 times 28 is 84 and those angles have the same measure.

Tags

CCSS.Math.Content.7.G.B.5

What is the value of x

(Write your answer as x=__)

Mathematical Equivalence

ON

Tags

CCSS.Math.Content.7.G.B.5

Write an equation that can be used to find the value of x in the figure ​ (a)  

• x + 7 + 144 = 180
• x + 7 = 144
• x + 7 + 144 = 90
• x + 7 - 144 = 180

Tags

CCSS.7.G.B.5