All Things Algebra Angles

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

• 2 Linear Pairs

• 4 Linear Pairs

• 6 Linear Pairs

• 8 Linear Pairs

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CCSS.7.G.B.5

• Sweet!

• Cool.

• Right on.

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CCSS.8.G.A.5

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CCSS.8.G.A.5

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CCSS.7.G.B.5

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CCSS.8.G.A.5

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CCSS.8.G.A.5

• They are congruent

• They form vertical angles

• They form a linear pair

• They are non-adjacent angles

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CCSS.8.G.A.5

So, if m∠2+m∠4=180° and m∠6=m∠2, we can substitute to get this equation:  m∠6+m∠4=180°.  Conclude

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CCSS.7.G.B.5

Name the angle relationship.

• Alternate Interior

• Alternate Exterior

• Corresponding

• Vertical Angles

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CCSS.8.G.A.5