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Draw angles with the following degree measures: a. 140° b. 82° c. 195° d. 70° e. 35°. 2. Estimate the size of each angle and then measure it with a protractor: a. b. c. d. e.

Mathematics

ScanSolve AI Answer

As an AI, I cannot physically draw angles or use a protractor to measure them. I will describe the angles for Question 1 and provide estimated measures for Question 2 based on visual inspection.

1. Draw angles with the following degree measures:

  • a. 140∘140^\circ: This is an obtuse angle, which is greater than 90∘90^\circ but less than 180∘180^\circ.
  • b. 82∘82^\circ: This is an acute angle, which is greater than 0∘0^\circ but less than 90∘90^\circ.
  • c. 195∘195^\circ: This is a reflex angle, which is greater than 180∘180^\circ but less than 360∘360^\circ.
  • d. 70∘70^\circ: This is an acute angle, which is greater than 0∘0^\circ but less than 90∘90^\circ.
  • e. 35∘35^\circ: This is an acute angle, which is greater than 0∘0^\circ but less than 90∘90^\circ.

2. Estimate the size of each angle and then measure it with a protractor:

  • a. This angle appears acute. Estimated measure≈75∘\text{Estimated measure} \approx \boxed{75^\circ}
  • b. This angle is indicated as a reflex angle by the arc. The interior angle appears acute, approximately 40∘40^\circ. Estimated measure of reflex angle≈360∘−40∘=320∘\text{Estimated measure of reflex angle} \approx 360^\circ - 40^\circ = \boxed{320^\circ}
  • c. This angle appears acute. Estimated measure≈60∘\text{Estimated measure} \approx \boxed{60^\circ}
  • d. This angle appears acute. Estimated measure≈30∘\text{Estimated measure} \approx \boxed{30^\circ}
  • e. This angle appears acute. Estimated measure≈80∘\text{Estimated measure} \approx \boxed{80^\circ}
  • f. This angle appears very acute. Estimated measure≈15∘\text{Estimated measure} \approx \boxed{15^\circ}
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