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c. Does TG bisect  ATV ? Justify your answer.

Angles Review Date: Monday October 17 th Name:__________________ Group:____. 1. 2. Solve the equation and find the measure of  ATG & GTV. c. Does TG bisect  ATV ? Justify your answer. 3a. How many pairs of adjacent angles are in this diagram? List them.

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c. Does TG bisect  ATV ? Justify your answer.

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  1. Angles Review Date: Monday October 17th Name:__________________ Group:____ 1. 2. Solve the equation and find the measure of ATG &GTV c. Does TG bisect  ATV? Justify your answer.

  2. 3a. How many pairs of adjacent angles are in this diagram? List them. b. How many pairs of complementary angles are in this diagram? List them. c. How many pairs of supplementary angles are in this diagram? List them. 4. Find the value of x. 5. Find the mAOC

  3. 6. Find the value of x. 7. Find the mECF 8. Find the mODN 9. Find the mDBE D E

  4. 10. • KLM and ABC are apair of complementary angles . • mKLM = 5y + 20and mABC = 3y + 4. • 11. • T and S are supplementary angles. • The measure of T is 5 times the measure of S. Verbal Numeric Find the measure of each angle. Algebraic Set up an solve an equation Graphic Use a protractor to draw the angles to scale. Verbal Numeric Find the measure of each angle. Algebraic Set up an solve an equation Graphic Use a protractor to draw the angles to scale.

  5. 12. XYZ and WYX forma linear pair mXYZ = 5t and mWYX=4t + 18. Verbal Numeric Find the measure of each angle. Algebraic Set up an solve an equation Graphic Use a protractor to draw the angles to scale.

  6. Angles Review Date: Tuesday October 18th Name:__________________ Group:____ I A X U Z Y O E 1. a. Highlight AXI &IXU, these angles form a linear pair How many linear pairs are in this diagram?________ Name another linear pair in this diagram._________&_________ b. Highlight OZX &YZE in another color. These angles form vertical angles. How many pairs of vertical angles are in this diagram?_______ Name another pair of vertical angles._________ &_________ c. Highlight AXZ &OZE in a third color. These angles form corresponding angles. How many pairs of corresponding angles are in this diagram?_______ Name another pair of corresponding angles.________ & ________ d. If the mEZY = 72, find the measures of EZO, OZX & XZY. e. OY || AU, mark it in the diagram. If mEZY = 72, find the measures of the remaining angles.

  7. 7. Find the value of x. 8. Find the mCBE 9. TQR and PQS are a pair of vertical angles mTQR = 3x+ 15 and mPQS = 5x - 16. Verbal Numeric Find the measure of each angle. Algebraic Set up an solve an equation Graphic Use a protractor to draw the angles to scale.

  8. 10. Verbal Graphic . Algebraic Set up an solve an equation Numeric Find the m3 & m5 11. Verbal Graphic . Algebraic Set up an solve an equation Numeric Find the m4 & m2

  9. 12. Verbal Graphic . Algebraic Set up an solve an equation Numeric Find the m3 & m5 13. Verbal Graphic . Algebraic Set up an solve an equation Numeric Find the m1 & m4

  10. Write and equation and then solve 29. Find the measures of two supplementary angles if the measure of the larger angle is 44 more than the measure of the smaller. 30. Find the measure of two complementary angles if the difference in the measures of the two angles is 12. 31. The measure of an angle is one-third the measure of its supplement. Find the measure of the angle. 32. The measure of an angle is one-fourth the measure of its complement. Find the measure of the angle. 33. The measure of an angle is 6 more than twice the measure of its complement. Find the measures of both angles. 34. The measure of an angle is 5 less than four times the measure of its supplement. Find the measure of both angles. 35. The measure of the supplement of an angle is 6 times the measure of the complement. Find the measures of the angle, its supplement, and its complement. 36. Suppose ∠ X and ∠ Y are supplementary angles. If m ∠ X = x2 – 9x and m ∠ Y = 11x + 12, find the value of x, m ∠ X, and m ∠ Y. 37. In order for ski jumpers to achieve the maximum distance on a jump, they need to make the angle between their body and the from of their skis as small as possible. This allows them to get the proper extension over the tips of their skis. If a ski jumper’s body is aligned so that the angle between the body and the front of the skis is 10o, what will be the angle that the tail of the skis forms with the body? 15. Suppose ∠ A is a complement of ∠ B. Find the value of x, m ∠ A, and m ∠ B if m∠ A = 7x + 4 and m ∠ B = 4x + 9. 16. Suppose ∠ P is a supplement of ∠ Q. Find the value of x, m ∠ P, and m ∠ Q if m∠ P = 6x + 4 and m ∠ Q = 10x.

  11. 20. ∠ CFE and ∠ AFC 21. ∠ BCF and ∠ FCD 22. ∠ AFE and ∠ DFB 23. ∠ CBF and ∠ ABF 24. ∠ AFB and ∠ CFB 25. ∠ CBF and ∠ FDE

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