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Angle Pairs and Relationships in Geometry

Understand angle pairs like complementary, supplementary, vertical angles, linear pairs and their relationships in geometric figures.

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Angle Pairs and Relationships in Geometry

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  1. WARM UP Find the complement of , where An angle measures 6 more than 3 times its supplement. Find the measure of its supplement.

  2. SPECIAL ANGLEPAIRS

  3. ComplimentaryAngles Angles that sum to 90°

  4. SupplementaryAngles Angles that sum to 180°

  5. V X Z Y W Not all intersecting lines form right angles, but they do form four angles that have special relationships.

  6. Adjacent To be next to. SHARING a side.

  7. Vertical Angles Two non-adjacent angles formed by two intersecting lines. Angles that are ACROSS from each other when two lines cross.

  8. V X Z Y W Vertical Angles Vertical angles are ALWAYS CONGRUENT

  9. Linear Pair Adjacent angles whose non-common sides are opposite rays. Two adjacent angles that are supplementary.

  10. V X Z Y W Linear Pair mYZV + mVZX = 180°

  11. A E (2x + 20) B (3x + 15) D C Example 1 AC and DE intersect at B. Find the value of ‘x’ and the measure of EBC.

  12. G (16x – 20) J I (13x + 7) K H Example 2 GH and JK intersect at I. Find the value of ‘x’ and the measure of JIH.

  13. (5x + 10) O N (7x + 20) M L P Example 3 LN and OP intersect at M. Find the value of ‘x’ and the measures of LMO and OMN.

  14. Example 4 If 1 and 2 are complements, with m1 = (2x + 20) and m2 = (3x + 15), find the value of ‘x’.

  15. 4 110 3 45 2 1 Example 5 Find all of the missing angles. m1 = __________ m2 = __________ m3 = __________ m 4 = __________

  16. A 2 1 C D B Example 6 CD  AB, m1 = (6x – 3), m2 = (7x – 11). Find the value of ‘x’.

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