Foundations 20 – Angel and Line Problems Name: _______________________________ Date: ________________________________ Angle and Line Problems 1. Give the following images, please measure and record the various angles: a) b) 2. With two parallel lines and a single transverse line, how many angles are the same? 3. With two non-parallel lines and a single transverse line, how many angles are the same? Page 1 Foundations 20 – Angel and Line Problems 4. If you were to add a second transverse line to the two parallel lines scenario, how many angles would you expect to be the same? Please draw the two parallel lines and two transverse lines in the space provided to check your hypothesis. 5. If you were to add a second transverse line to the two non-parallel lines scenario, how many angles would you expect to be the same? Please draw the two non-parallel lines and two transverse lines in the space provided to check your hypothesis. Page 2 Foundations 20 – Angel and Line Problems 6. On a three sided polygon, what is the sum of the interior angles? (Feel free to draw the figure and measure the angles if you are unsure.) 7. On a four sided polygon, what is the sum of the interior angles? (Feel free to draw the figure and measure the angles if you are unsure.) 8. On a five sided polygon, what is the sum of the interior angles? (Feel free to draw the figure and measure the angles if you are unsure.) Page 3 Foundations 20 – Angel and Line Problems 9. On a six sided polygon, what is the sum of the interior angles? (Feel free to draw the figure and measure the angles if you are unsure.) 10. On a ten sided polygon, what is the sum of the interior angles? (Feel free to draw the figure and measure the angles if you are unsure.) Page 4
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