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Polygon Angles and Parallelogram Properties Practice Quiz

This quiz consists of various questions focusing on the sums of interior and exterior angles of polygons, as well as properties of parallelograms. You will calculate the angles for shapes including a nonagon, decagon, and other polygons, while also determining specific angle measures in regular shapes like the octagon and dodecagon. Additionally, it involves solving linear equations to find unknown variables and justifying whether certain quadrilaterals are parallelograms based on their properties. Remember to show your work in your notebook!

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Polygon Angles and Parallelogram Properties Practice Quiz

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  1. Practice Quiz 6.1-6.3 Solve/answer each question in your notebook. Do not copy the pictures just show your work. You have 2 minutes for each question.

  2. #1 • Find the sum of the measures of both interior and exterior angles for each polygon. • nonagon

  3. #2 • Find the sum of the measures of both interior and exterior angles for each polygon. • decagon

  4. #3 • Find the sum of the measures of both interior and exterior angles for each polygon. • 30-gon

  5. #4 • Find the measure of each interior angle for a regular octagon. Round to the nearest tenth if necessary.

  6. #5 • Find the measure of each interior angle for a regular dodecagon. Round to the nearest tenth if necessary.

  7. #6 • Find the measure of each exterior angle for a regular pentagon. Round to the nearest tenth if necessary.

  8. #7 • Find the measure of each interior angle. A C 3x-2 7x 4x B 2x - 6 D

  9. #8-11 • Complete each statement about parallelogram QRST. • QR congruent to ____ • TO congruent to ____ • Angle SRQ supplementary to ____ • Angle RST congruent to ______ Q R O T S

  10. #12 • Find x and y. 2y + 4 3x - 40 6y - 8 x

  11. #13 • Find x and y. -3x - 7 5y + 19 -6y - 3 2x + 18

  12. #14- 17 Determine if each is a parallelogram. Justify your answer 14 15 17 16 145 45 45

  13. 1. 1260/360 2. 1440/360 3. 5040/360 4. 135 5. 150 6. 72 7. x = 23, A= 67, B= 92, C= 161, D=40 8. ST 9. RO 10. angle RQT, or angle RST 11. angle TQR X= 20, y = 3 X = -5, y = -2 No, both sets of sides must be parallel Yes, both set of opposite sides are congruent No, consecutive angles are not supplementary Yes, one set of opposite sides are congruent and parallel Answers

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