What is the Measure of Angle trv 20° 50° 60° 130°

Textual Content: 1. If the measure of angle 2 is equal to 12x + 10 and the measure of angle 7 is equal to 7x - 1, what is the measure of angle 2? a. 9° b. 62° c. 108° d. 118° e. Cannot be determined 2. If the measure of angle 5 is five times the measure of angle 6, what is the measure of angle 5? a. 30° b. 36° c. 120° d. 130° e. 150° 3. If the measure of angle 4 is 6x + 20 and the measure of angle 7 is 10x - 40, what is the measure of angle 6? a. 60° b. 70° c. 110° d. 116° e. 120° 4. Which of the following is NOT true? a. Angles 4 and 2 are complementary. b. Angles 3 and 6 are supplementary. c. Angles 5 and 7 are adjacent. d. Angles 5 and 7 are congruent. e. Angles 4 and 8 are supplementary and congruent, only if ∠3 = 90°.   5. If the measure of angle 2 is 8x + 10 and the measure of angle 6 is x² - 38, what is the measure of angle 8? a. 42° b. 74° c. 84° d. 108° e. 138° In the figure above, what is the value of a + b? A) 160 B) 175 C) 185 D) 200 E) 205 In the figure above, AB || CD and BC || DB. What is the value of x? A) 31 B) 35 C) 55 D) 57 Use the diagram below to answer questions 21-25. Lines EF and GH are parallel to each other, lines CD and IJ are parallel to each other, and line AB is perpendicular to lines EF and GH. Every numbered angle is greater than 0.   21. If the sum of the measures of angles 8 and 9 is 133°, what is the measure of angle 3? * a. 43° * b. 47° * c. 90° * d. 133° * e. 156° 22. If the sum of the measures of angles 21 and 5 is 180° and the measure of angle 3 is 4x + 1, what is the measure of angle 10? * a. 29° * b. 62° * c. 100° * d. 118° * e. 156° 23. Which of the following must be true? * a. angle 13 + angle 14 = angle 11 + angle 15 * b. angle 16 + angle 10 = angle 11 + angle 15 * c. angle 1 + angle 8 = angle 20 * d. angle 13 + angle 14 + angle 15 = 180° * e. angle 14 + angle 15 + angle 16 = 180° 24. If angle 5 = 8x - 4 and angle 22 = 7x + 11, what is the measure of angle 16? * a. 92° * b. 95° * c. 100° * d. 116° * e. 124° 25. If the sum of the measures of angles 20 and 14 is 15x + 6, and the sum of the measures of angles 20 and 15 is 18x, what is the measure of angle 19? * a. 18° * b. 36° * c. 54° * d. 72° * e. 90°   In the figure above, DA || BC and AB bisects ∠DAC. What is the measure of ∠BCA in terms of a? * A) 180 - a * B) 2a - 180 * C) 180 - 2a * D) 2a - 90 In the figure above, m∠1 = x + y = 180. What is the value of y? * A) 120 * B) 125 * C) 130 * D) 135 In the figure above, l || m. What is the value of x + y? A) 37 B) 40 C) 43 D) 46 8x + 4 = 180 8x = 176 x = 22 5y - 9 + 5(22) + 4 = 180 5y - 9 + 114 = 180 5y + 105 = 180 5y = 75 y = 15 Note: Figure not drawn to scale In the figure above, lines l, m, and n are parallel. What is the value of x + y? A) 160 B) 200 C) 230 D) 290 y + 70 = 180 y = 110 z + x = 180 110 + x = 180 x = 70 Use the diagram below to answer questions 11-15. Lines EF and GH are parallel to each other, and line IJ is perpendicular to lines EF and GH. 11. Which of the following pairs of angles must be congruent? * a. angles AIC and KIJ (vertical) * b. angles KIJ and JIL * c. angles AIL and HIJ * d. angles AIL and KIF * e. angles ILH and IKG 12. If the measure of angle JLI is 8x - 4 and the measure of angle JIL is 5x + 3, what is the measure of angle AIE? * a. 14° * b. 38° * c. 48° * d. 52° * e. 128° 13. If the measure of angle GKI is 15x - 4 and the measure of angle CIF is the measure of angle EIK, what is the measure of angle GKI? * a. 61° * b. 116° * c. 120° * d. 124° * e. 144° 14. If angles LIF and EIK are congruent, and the measure of angle LIF is 6 greater than the measure of angle JIL, what is the measure of angle LIF? * a. 42° * b. 48° * c. 54° * d. 87° * e. 90°   15. If angle JLB is three and a half times the size of angle LIF, what is the measure of angle EIL? * a. 120° * b. 125° * c. 130° * d. 135° * e. 140° Note: Figure not drawn to scale. In the figure above, l || m. What is the value of x? * A) 45 * B) 50 * C) 55 * D) 60 Note: Figure not drawn to scale. In the figure above, lines l, m, and n are parallel and BD bisects ∠ABC. What is the value of x? * A) 24 * B) 36 * C) 54 * D) 72