Vertical Angles (Classwork) Name________________________________ Name the two pair of vertical angles. 1.___________________ 2.___________________ Using the diagram, tell whether the angles are vertical angles. Justify your answer. 3. ∠1 and ∠2 5. ∠1 and ∠3 4. ∠3 and ∠8 6. ∠1 and ∠5 Find the value of x in degrees in each diagram below. Show your thinking. 7. 105 x 8. 3x + 3 108 9. 60 2x +10 10. 2X+6 100 11. The following diagram shows an equilateral triangle. Find the value of X and Z in degrees and explain your thinking. 12. The following diagram shows an isosceles triangle. Find the value of x in degrees. 13 Find the value of x, y and z in degrees. 14. Find the measure of each angle in degrees. Key: 1. 2. 3. 4. 5. 6. 7. 8. Sample Answers JNM and LNK Sample Answers JNL and MNK No, adjacent No, common vertex Yes No, no common vertex 105 3x + 3 = 108 3x = 105 x = 35 9. 60 = 2x + 10 50 = 2x 25 = x 10. 2x + 6 = 100 2x = 94 x = 47 11. X =60 Z = 60 12. X + 20 =75 X = 55 13. Y =65 X = 115 Z = 115 14. K = 150 R = 30 G = 150 N = 30 J = 90 C = 60 D = 30