Angle Relationships & Parallel Lines Mrs. Wedgwood.

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Presentation transcript:

Angle Relationships & Parallel Lines Mrs. Wedgwood

Adjacent angles are “__________” and share a ______________. 45º 15º

These are examples of ______ _____. 55º 35º 50º130º 80º 45º 85º 20º

These angles are ___ _______. 45º55º 50º 100º 35º

________________________ 40° 50°

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

___________________ 30° 150°

_______________________. 60º120º 40º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent

___________________________. 100°

Vertical Angles are __________one another. Vertical angles are ____________. 80°

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

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

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

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. 3x° 2x°

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

5) Find the missing angle. ?°?° 168°

6) Find the missing angle. 58° ?°?°

7) Solve for x. 4x 5x

8) Solve for x. 2x x + 20

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

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

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

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

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

The End