What is the Measure of Angle Coa

15. Given: IL ⊥ NK Name two complementary angles: ∠INJ, ∠JNK Name two supplementary angles: ∠INK + ∠LNK, ∠MNL + ∠LNS 16. Given: m∠MNL = 70° ∠INM = 70° (vertical angles) ∠INK = 20° (straight line) ∠JNK = 20° (if you use the box) 17. Find the value of x. (5x - 18) + (4x + 67) = 180 9x + 49 = 180 9x = 131 x = 153 18. Find the value of x. ∠OX = 15° 10x - 15 = 90 10x = 105 x = 10.5 13. Given: m∠1 = 2x + 35 and m∠2 = 3x + 7. Find the angle measures. 2x + 35 + 3x + 7 = 180 5x + 42 = 180 5x = 138 x = 27.6 ∠1 = 2(27.6) + 35 = 91 ∠2 = 3(27.6) + 7 = 89 14. Angles 3 and 4 are complementary. The m∠3 = 2y and the m∠4 = y - 18. Find the value of y and find the measures of angles 3 and 4. 2y + y - 18 = 90 3y - 18 = 90 3y = 108 y = 36 ∠3 = 2(36) = 72 ∠4 = 36 - 18 = 18 15. x + 3 + 3x - 2 = 90 4x + 1 = 90 4x = 89 x = 20 16. 3x + 3 + x - 10 = 180 4x - 7 = 180 4x = 187 x = 46.75 Note: Figure not drawn to scale. In the figure above, ray OB bisects ∠COA. If m∠DOB = 11x + 6 and m∠COA = 8x - 12, what is the measure of ∠DOC? 11x + 6 + 8x - 12 = 180 19x - 6 = 180 19x = 186 x = 12 ∠DOC = 180 - (8x - 12) = 96 Note: Figure not drawn to scale. In the figure above, what is the value of y? 5x - 12 = 3y + 8 5x - 20 = 3y 16 - 20 = 3y - 8 -4 = 3y - 8 4 = 3y 4/3 = y ALGEBRA In the figure, EA and EC are opposite rays. BD bisects ∠EBC, and MD bisects ∠ADC. 17. Find m∠EBD, m∠DBC, and m∠EDC. m∠EBD = 4(6) + 16 = 40 m∠DBC = 6(6) + 4 = 40 m∠EDC = 5(6) + 10 = 40 18. Find m∠EBF, m∠ABF, and m∠EBC. 7x - 8 = 5x + 10 2x = 18 x = 9 m∠EBF = 7(9) - 8 = 55 m∠ABF = 4(9) + 16 = 52 m∠EBC = 5(9) + 10 = 55 5) Solve for x and find all 4 angle measures. 2x + 1 = 59 2x = 58 x = 29 ∠1 = 180 - 59 = 121 7) m∠EFG = 11x + 20, m∠EGF = 46°, and m∠FG = 8x + 7. Find x. 8x + 7 + 46 = 11x + 20 8x + 53 = 11x + 20 33 = 3x 11 = x 8. If the measure of angle 3 is 2x + 2 and the measure of angle 4 is 5x - 10, what is the measure of angle 7? ∠3 + ∠4 = 90 2x + 2 + 5x - 10 = 90 7x - 8 = 90 7x = 98 x = 14 ∠4 = 5(14) - 10 = 60 9. If angle 1 measures 62° and angle 4 measures 37°, what is the measure of angle 6? ∠1 + ∠6 + ∠4 = 180 62 + ∠6 + 37 = 180 ∠6 + 99 = 180 ∠6 = 81 10. If the measure of angle 1 is 5x + 3 and the measure of angle 4 is 15x + 7, what is the sum of angles 5 and 6? ∠5 + ∠6 + ∠4 = 180 ∠5 + ∠6 + 15x + 7 = 180 ∠5 + ∠6 = 173 - 15x