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NAME ________________________________________________ REVIEW: Unit 4 Quiz polygons and quadrilaterals Answer each question. 1. What is the sum of the measures of the interior angles of an octagon? 4. What is the measure of each interior angle of a regular 16-gon? 7. If the exterior angle of a regular polygon is 22.5°, how many sides does it have? DATE ______________________ 2. What is the sum of the measures of the interior angles of a 25-gon? 5. What is the sum of the measures of the exterior angles of a dodecagon? 8. If the interior angle of a regular polygon measures 170°, how many sides does it have? PERIOD _______ 3. What is the measure of each interior angle of a regular hexagon? 6. What is the measure of each exterior angle of a regular 30-gon? 9. The exterior angle of a regular polygon has a measure of 36. Find the measure of the interior angles. 10. The measure of seven angles in a nonagon measure 138°, 154°, 145°, 132°, 128°, 147°, and 130°. If the two remaining angles are equal in measure, what it the measure of each angle? 11. Solve for x. 12. Solve for x. 13. Solve for x. 14. Find m∠BCA. 15. For parallelogram NPQR, write 2 parallel statements. 16. For parallelogram ABCD, write 4 supplementary equations. 17. Find m∠B. 18. Find m∠R. 19. In parallelogram ABCD, if AE = 3x - 19 20. In parallelogram JKLM, find KL. and EC = 2x + 7, find x. 21. 22. Find m∠WYZ and m∠XYZ. 23. Find x and y so that the quadrilateral is a parallelogram. 24. Determine whether each quadrilateral is a parallelogram. Justify your answers. 25. In parallelogram BIRD, ∠R ≅ _______. 26. Determine whether DAWG is a parallelogram if DA = 2, AW= 5, WG = 2 and GD = 7. Justify your