Name Each Angle in Four Ways

Name: ______________________ Period: ______ Q4 Review Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight. 1. a. 1, B, CBA, ABC; obtuse b. 1, B, CBA, ABC; right c. 1, B, CBA, ABC; straight d. 1, B, CBA, ABC; acute 5. two acute angles a. FGE and ACH c. DCH and JBD 7, P, JPM, MPJ; straight b. 7, P, JPM, MPJ; right c. 7, P, JPM, MPJ; acute d. 7, P, JPM, MPJ; obtuse 4, S, RST, TSR; acute b. 4, S, RST, TSR; obtuse c. 4, S, RST, TSR; right d. 4, S, RST, TSR; straight GBC d. ABD and EBG a. 118 c. 13 b. 283 d. 103 a. 90 c. 270 b. 45 d. 180 a. 140 c. 40 b. 50 d. 60 7. 3. a. ABE and Find the value of x in each figure. 6. 2. a. b. 8. Use the figure below to name the following. 9. Which is a pair of vertical angles in the figure below? 4. two straight angles a. ABE and GBC c. ABD and EBG b. FGE and ACH d. DCH and JBD a. b. c. Refer to the figure below. d. Use the figure below to answer the questions. 10. Name two angles that are vertical. a. b. MPN and MPL and 14. If m = 58, what is the measure of an angle that is complementary to ? a. 180 b. 32 c. 90 d. 42 NPO NPO c. LPM and Find the value of x in the figure. d. MPN OPL and LPM 11. Find the value of x. a. 5 b. 17 c. 85 d. 19 15. 12. Which are two pairs of adjacent angles in the figure below? a. 90 c. 5 b. 85 d. 95 16. Which are two pairs of adjacent angles in the figure below? a. c. , , b. , d. , 13. Which of the following shows a straight angle? a. a. , b. c. , d. b. 17. What type of angle is shown below? c. d. a. acute c. right b. straight d. obtuse , , Use the terms vertical angles, adjacent angles, complementary angles, or supplementary angles to describe angles 1 and 2 in as many ways as possible. . 18. 22. a. adjacent angles c. adjacent angles; supplementary angles b. vertical angles d. none of these 23. Refer to the figure below. 24. 19. If m = 44, find the measure of an angle that is supplementary to . a. 75 b. 46 c. 136 d. 56 and a. alternate interior c. corresponding b. alternate exterior d. vertical and a. alternate interior c. corresponding b. alternate exterior d. vertical and a. alternate interior c. corresponding b. alternate exterior d. vertical 25. In the figure below, 137°, find 7. and t is a transversal. If 20. Which is a pair of vertical angles in the figure below? a. 43° c. 137° b. 133° d. 46° a. b. 26. Angles P and Q are complementary. If and what is the measure of each angle? Set up equation: 8𝑥 + 1 + 9𝑥 + 4 = 90 c. d. Simplify Solve Identify the pair of angles as alternate interior, alternate exterior, corresponding, or vertical. 17𝑥 + 5 = 90 17𝑥 = 85 𝑥=5 Substitute 5 for x to find the measure of both angles. ⦟𝑃 = 8(5) + 1 = 41° ⦟𝑄 = 9(5) + 4 = 49° 21. and a. alternate interior c. corresponding b. alternate exterior d. vertical Classify each angle as acute, obtuse, right, or straight. 27. a. neither a. right c. obtuse b. complementary and supplementary d. supplementary c. complementary b. straight d. acute 32. Which of the following statements is true? 28. Which is a pair of vertical angles in the figure below? a. b. c. d. 29. Which is a pair of vertical angles in the figure below? a. are supplementary b. c. are complementary d. 34. If , b. c. d. are supplementary 33. If and are supplementary and the measure of is 154 , what is the measure of ? a. 64 c. 46 a. are complementary b. 154 d. 26° is a straight angle, then find the measures of , and . 30. Which are two pairs of adjacent angles in the figure below? = 90°; a. c. , , b. , d. , 31. Identify the pair of angles as complementary, supplementary, both, or neither. = 45°; 90 + x + x = 180 90 + 2x = 180 90 + 2x – 90 = 180 – 90 2x = 90 x = 45 = 45°; 35. In the figure given below, find x. 36. Angles X and Y are supplementary. If and , what is the measure of each angle? Set up equation: 2𝑥 + 4 + 4𝑥 + 20 = 180 Simplify then solve:6𝑥 + 24 = 180 𝑥 = 26 Solve: 3x + 2x + x = 180 or 3𝑥 = 90 Substitute 26 for x in both angles: x = 30 ⦟𝑋 = 2(26) + 4 = 56° ⦟𝑌 = 4(26) + 20 = 124° In the figure at the right, m ║ n and r is a transversal. If m∠ 2 = 45°, find the measure of each angle. 1. ∠ 4 135° 2. ∠ 5 135° 3. ∠ 7 45° 4. ∠ 8 135° 5. ∠ 6 45° 6. ∠ 3 45° In the figure at the right, d ║ e and a is a transversal. If m∠ 5 = 143°, find the measure of each angle. 7. ∠ 7 143° 8. ∠ 6 143° 9. ∠ 4 37° 10. ∠ 2 37° 11. ∠ 1 37° 12. ∠ 8 143° Classify the pairs of angles shown. Then find the value of x in each figure. 13. 15. x = 9° 14. X=108° x = 72° 16. x = 125° 18. x = 87° 17. x = 155° 19. Angles Q and R are complementary. Find m∠ R if m ∠ Q = 24°. m⦟R = 66° 20. Find m∠ J if m∠ K = 29° and ∠ J and ∠ K are supplementary. m⦟J = 151° 21. The measures of angles A and B are equal and complementary. What is the measure of each angle? Both are 45° 22. Angles G and H are complementary. If m∠ G = 3x + 6 and m∠ H = 2x – 11, what is the measure of each angle? Make equation 3x + 6 + 2x − 11 = 90 Substitute value of x into both angles 3(19) + 6 = 63° Simplify 5x − 5 = 90 Solve x = 19 Know the following: Acute, Right, Obtuse, and Straight Angles Adjacent, Vertical, Complimentary and Supplementary Angles Alternate Exterior, Alternate Interior and Corresponding Angles. 2(19) − 11 = 27°