What’s Your Angle? An Introduction to Angle Pair Relationships
Background Vocabulary Parallel lines: Lines that never ______________. The symbol for parallel lines is _____. Transversals: Lines that ____________ two or more parallel lines. Congruent angles: Two angles that have __________ measures.
Angle Review Acute : Angles that measure less than ______.
Right: Angles that measure exactly _____. Angle Review
Obtuse: Angles that measure more than ______ and less than ______. Angle Review
Straight: Angles that measure exactly ______. Angle Review
Adjacent Angles Two angles that are ______ by _______. They share a common side. 55° 22°
Complementary Angle Two angles whose measures _____ up to _____. 45°
Supplementary Angles Two angles whose measures ____ up to ______. These angles do NOT have to be __________. Supplementary Angles 120° 60°
Linear Pair Two angles whose measures _____ up to ______. These angles must be _________. 130° 50°
The Transversal
Alternate Interior Angles Two angles that are _________ the parallel lines, but are on _________ sides of the transversal. An example is: Angle 3 and Angle 6. These angles are ____________, which means they have the same measure.
Alternate Exterior Angles Two angles that are _________ the parallel lines, but are on _________ sides of the transversal. An example is: Angle 1 and Angle 8. These angles are ____________, which means they have the same measure.
Vertical Angles Two angles that are ___________ one another when two lines cross. An example is: Angle 1 and Angle 4. These angles are ___________ angles, which means they have the same measure..
Corresponding Angles These angles are in the ________ position, but one different parallel lines. An example is: Angle 1 and Angle 5. These angles are ____________ angles, which means they are the same measure.
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
In the figure a || b. 9. Name the angles congruent to Name all the angles supplementary to If m 1 = 105° what is m 3? 12. If m 5 = 120° what is m 2?
13) 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°
14) 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°
15) Find the missing angles. 70 ° b° 70 ° d °65 °
16) Find the missing angles. 45 ° b° 50 ° d °75 °