Angle Relationships Parallel Lines Mrs Wedgwood Adjacent angles

Angle Relationships & Parallel Lines Mrs. Wedgwood

Adjacent angles are “_____” and share a _______. 45º 15º

These are examples of ______. 80º 45º 35º 55º 85º 130º 20º 50º

These angles are _______. 100º 50º 35º 55º 45º

Complementary angles add up to ____. 30º 40º 60º ___________ 50º Complementary Angles but ______ Adjacent

____________. 40º 120º 60º Adjacent and Supplementary Angles 140º Supplementary Angles but not Adjacent

Vertical Angles are _____one another. Vertical angles are ______. 80°

Lines __ and __ are ______ Note the 4 angles that measure 120° l 120° m 120° Line n is a transversal. n

Lines ____ and ____ are _______ Note the 4 angles that measure 60° l 60° Line n is a transversal. n m

_____________ There are 4 pairs of angles that are vertical. There are many pairs of angles that are supplementary. 60° 120° Line n is a transversal. 120° 60° l 60° 120° 60° n m

If _____lines are intersected by a transversal and any of the angle pairs shown below are ____, then the lines are _______. This fact is used in the construction of ___________

Practice Time!

1) Find the missing angle. ? ° 36°

2) Find the missing angle. ? ° 64°

3) Solve for x. 2 x° 3 x°

4) Solve for x. x + 25 2 x + 5

5) Find the missing angle. ? ° 168°

6) Find the missing angle. 58° ? °

7) Solve for x. 4 x 5 x

8) Solve for x. 2 x + 10 3 x + 20

9) Lines l and m are parallel. l||m Find the missing angles. 42° c° a° b° d° e° g° f° l m

10) Lines l and m are parallel. l||m Find the missing angles. 81° c° a° b° d° e° g° f° l m

11) Find the missing angles. 70 ° b° Hint: The 3 angles in a triangle sum to 180°. d° 65 °

12) Find the missing angles. 45 ° 50 ° b° Hint: The 3 angles in a triangle sum to 180°. d° 75 °

TOD………………. In the figure a || b. 13. Name the angles congruent to 3. 14. Name all the angles supplementary to 6. 15. If m 1 = 105° what is m 3? 16. If m 5 = 120° what is m 2?

The End