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