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Exploring Angles Formed by Intersecting Lines

Discover and prove theorems about angles when lines intersect, including vertical angles and linear pairs. Practice finding angle measures and solving equations.

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Exploring Angles Formed by Intersecting Lines

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  1. Lesson 4.1– Angles Formed by Intersecting Lines9-27-2017 9-22-2014

  2. Warm-Up Solve the given equations for x. 3x + 27 = 180 5(x – 4) = 90 (there is a “trick” for this one)

  3. Standards and Practices Standard G-CO.C.9 Prove theorems about lines and angles. Mathematical Practice MP.3 Logic

  4. Essential Question “How can you find the measures of angles formed by intersecting lines?”

  5. What do I need to know? What types of angles are formed when two lines intersect?

  6. Angles Formed by Intersecting Lines

  7. Angles Formed by Intersecting Lines

  8. Angles Formed by Intersecting Lines You have been measuring vertical angles and linear pairs of angles. Recall that a linear pair is a pair of adjacent angles whose non-common sides are opposite rays. In your notes: When two lines intersect, the angles that are opposite each other are vertical angles.

  9. Angles Formed by Intersecting Lines

  10. Angles Formed by Intersecting Lines We Do: Find the measure of angle 5 You Do: Find the measure of angles 6 and 7.

  11. Angles Formed by Intersecting Lines We Do: You Do:

  12. Angles Formed by Intersecting Lines Let’s get some examples in your notes: 9. The measure of an angle is equal to the measure of its complement. 10. The measure of an angle is twice the measure of its supplement.

  13. Assignment Page 150: 1 – 12, Skip 5

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