This is a worksheet for measuring reflex angles. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees. To measure a reflex angle with a standard protractor, you typically measure the smaller, acute or obtuse angle and then subtract that value from 360 degrees.
Since I cannot physically use a protractor on this digital image, I will estimate the measurements based on visual inspection and provide a logical explanation for each.
Let's go through each problem one by one.
Problem 1
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First, look closely: The reflex angle is the large arc going around the outside of the two rays. The smaller angle between the rays appears to be about 45 degrees.
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Next, find information: No external research is needed; this is a calculation based on geometry principles.
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Then, review the findings: To find the reflex angle, we subtract the smaller angle from 360 degrees: $360^\circ - 45^\circ = 315^\circ$.
Problem 2
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First, look closely: The two rays form a right angle (90 degrees) in the smaller section. The reflex angle is the rest of the circle.
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Next, find information: Again, no external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 90^\circ = 270^\circ$.
Problem 3
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First, look closely: The smaller angle between the two rays looks like it is about 135 degrees (a bit more than a right angle).
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Next, find information: No external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 135^\circ = 225^\circ$.
Problem 4
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First, look closely: The smaller angle is very small, perhaps around 20 degrees.
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Next, find information: No external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 20^\circ = 340^\circ$.
Problem 5
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First, look closely: The smaller angle appears to be about 120 degrees.
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Next, find information: No external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 120^\circ = 240^\circ$.
Problem 6
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First, look closely: The smaller angle is approximately 90 degrees.
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Next, find information: No external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 90^\circ = 270^\circ$.
Problem 7
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First, look closely: The smaller angle is very small, similar to problem 4, maybe 15 degrees.
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Next, find information: No external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 15^\circ = 345^\circ$.
Problem 8
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First, look closely: The smaller angle is extremely small, perhaps 10 degrees.
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Next, find information: No external research is needed.
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Then, review the findings: The reflex angle is $360^\circ - 10^\circ = 350^\circ$.
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Final Answer
Based on visual estimation and the principle that a reflex angle is $360^\circ$ minus the smaller angle, here are the estimated measurements for each reflex angle on the worksheet:
1.
315°
2.
270°
3.
225°
4.
340°
5.
240°
6.
270°
7.
345°
8.
350°
Note: These are estimations. For precise measurements, a physical protractor should be used on the printed worksheet. The actual values may vary slightly depending on the exact drawing.
Parent Tip: Review the logic above to help your child master the concept of reflex angles worksheet.
