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Warm Up:

Warm Up:. Solve for the variable: 105 = 2x + 5 50 2. 119 – x = 3x + 11 27 3. 2x – 7 = -4x + 1. Linear Pair. I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?. Vertical Angles.

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Warm Up:

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  1. Warm Up: Solve for the variable: 105 = 2x + 5 50 2. 119 – x = 3x + 11 27 3. 2x – 7 = -4x + 1

  2. Linear Pair I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?

  3. Vertical Angles I: Two angles that share a common vertex and are opposite of each other when two lines cross. Angles will always be congruent. M:

  4. Acute Angle I: Has a measure between 0° and 90°. M: 67°

  5. Right Angle I: An angle that has a measure equal to 90°. M:

  6. Obtuse Angle I: An angle that has a measure between 90° and 180°. M: 140°

  7. Complementary Angles I: A pair of angles whose sum of measures equals 90°. M: Find the missing measure. x° 58°

  8. Supplementary Angles I: A pair of angles whose sum of measures equals 180°. M: Find the value of x. x + 60 x

  9. Angle Bisector I: A ray (or line segment) that divides an angle into two congruent angles. M:

  10. Practice are complementary. Solve for x and the measure of both angles. 1. = 5x + 2 2 = 2x + 4 x = 12; = 62° and 2 = 28° 2. = 12x + 4 = 9x + 2 x = 4; = 52° and 2 = 38°

  11. One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles. Two angles: x and x – 16 X = 53 X – 16 = 37

  12. One of two supplementary angles is 98° greater than its supplement. Find the measure of both angles. Two Angles: x and x + 98 X = 41 X + 98 = 139

  13. One of two complementary angles is 57° greater than twice its complement. Find the measure of both angles. Two Angles: x and 2x + 57 X = 11 2x + 57 = 79

  14. One of two supplementary angles is 123° less than twice its supplement. Find the measure of both angles. Two angles: x and 2x – 123 X = 101 2x – 123 = 79

  15. 7. Find all missing angle measures Given: m1 = 90°, m2 = 34°, and m6 = 137° 4 = 5 = 7 = 8 = 90° 146° 146° 137° 43° 90° 34° 137°

  16. 1 and 2 are complementary angles, state the numerical value of x. 8. m1 = 2x, m2 = 3x X = 18 9. m1 = 30 + x, m2 = 40 + x x = 10

  17. 3 and 4 are supplementary angles, state the numerical value of y. 10. m3 = 2y, m4 = 3y – 15 y = 39 11. m3 = 5m4, m4 = y y = 30

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