Download to read offline
Day 5 - Special Angles.ppt
- 1. A B C D mABC = 14x+ 2, mCBD = 6x + 1, mABD = 25x – 27 WARMUP - x = 6 mABC = 86 mCBD = 37 mABD = 123 mABC + mCBD = mABD 14x + 2 + 6x + 1 = 25x – 27 20x + 3 = 25x – 27 3 = 5x – 27 30 = 5x 6 = x mABC = 14x + 2 mABC = 14(6) + 2 = 86 mCBD = 6x + 1 mCBD = 6(6) + 1 = 37 mABD = 25x - 27 mABD = 25(6) - 27 = 123
- 2. What are some specialangle relationships? AGENDA: • WARMUP • REVIEW ANGLES FROM WEDNESDAY • SPECIAL ANGLE PAIRS • TEST FRIDAY
- 3. Complementary Angles Definition: twoangles whose measures have the sum of 90. Complementary Angles may or may not be Adjacent Angles. 35 55 20 70
- 4. Supplementary Angles Definition: twoangles whose measures have the sum of 180. Supplementary Angles may or may not be Adjacent Angles. 125 55 110 70
- 5. Linear Pair Definition: twosupplementary, adjacent angles. Linear Pair = A Pair of Angles that forms a Line. 120 60
- 6. Vertical Angles Definition: twonon-adjacent angles formed by intersecting lines. 1 2 3 4 1 and 2 are vertical angles. 3 and 4 are vertical angles.
- 7. What do younotice? 1 2 3 4 Theorem: Vertical Angles are Congruent. 12 34
- 8. Applying new conceptswith Algebra… 8x + 6 10x - 18 Find x. We know vertical angles are congruent; therefore the measure of vertical angles are equal and we can set these two expressions equal to one another. 10x – 18 = 8x + 6 2x = 24 x = 12 B A Q C D 102 102
- 9. x 4x What relationship dowe see here? Complementary Angles x + 4x = 90 5x = 90 x = 18 18 72
- 10. Supplementary Angles 6x+7 4x+3 4x+3 +6x+7 = 180 10x + 10 = 180 10x = 170 x = 17 109 71
- 11. CHECK FOR UNDERSTANDING I’mCollecting this for a grade!! P. 71 #15, 16, 20, 21 P. 72 #37 P. 79 #28, 29 P 80 #54, 55