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SWBAT identify various angle pairs then write and solve equations based on their relationships

Objective. SWBAT identify various angle pairs then write and solve equations based on their relationships. HW Pg 31{1, 3, 5, 7,11,13, 27, 29, 31,35,37,39, 53, 55…..EC 44}. Vocabulary. adjacent angles linear pair complementary angles supplementary angles vertical angles.

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SWBAT identify various angle pairs then write and solve equations based on their relationships

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  1. Objective SWBAT identify various angle pairs then write and solve equations based on their relationships HW Pg 31{1, 3, 5, 7,11,13, 27, 29, 31,35,37,39, 53, 55…..EC 44}

  2. Vocabulary adjacent angles linear pair complementary angles supplementary angles vertical angles

  3. Example 1A: Identifying Angle Pairs Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. AEB and BED

  4. Example 1B: Identifying Angle Pairs Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. AEB and BEC

  5. Example 1C: Identifying Angle Pairs Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. DEC and AEB

  6. Check It Out! Example 1a Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 5 and 6

  7. Check It Out! Example 1b Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 7 and SPU

  8. Check It Out! Example 1c Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 7 and 8

  9. You can find the complement of an angle that measures x° by subtracting its measure from 90°, or (90 – x)°. You can find the supplement of an angle that measures x° by subtracting its measure from 180°, or (180 – x)°.

  10. Example 2: Finding the Measures of Complements and Supplements Find the measure of each of the following. A. complement of F B. supplement of F

  11. Example 4: Problem-Solving Application Light passing through a fiber optic cable reflects off the walls of the cable in such a way that 1 ≅ 2, 1 and 3 are complementary, and 2 and 4 are complementary. If m1 = 50°, find m2, m3, and m4.

  12. Vertical anglesare two nonadjacent angles formed by two intersecting lines. 1and 3are vertical angles, as are 2and 4.

  13. Example 5: Identifying Vertical Angles Name the pairs of vertical angles.

  14. Lesson Quiz: Part I mA = 64.1°, and mB =(4x – 30)°. Find the measure of each of the following. 1. supplement of A 2. complement of B 3. Determine whether this statement is true or false. If false, explain why. If two angles are complementary and congruent, then the measure of each is 90°. 115.9° (120 – 4x) ° False; each is 45°.

  15. Lesson Quiz: Part II mXYZ = 2x° and mPQR = (8x - 20)°. 4. If XYZ and PQR are supplementary, find the measure of each angle. 5. If XYZ and PQR are complementary, find the measure of each angle. 40°; 140° 22°; 68°

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