To find the measure of a reflex angle (the larger angle that is greater than 180°), you can use this simple method:
1. Look at the smaller angle inside the shape (the acute or obtuse one).
2. Subtract that number from
360.
* Formula:
360° - Small Angle = Reflex Angle
*(Note: Since I cannot see the specific numbers on your worksheet, I have provided the estimated answers based on how these angles typically look in geometry problems. You should verify these with your protractor.)*
Step-by-Step Estimates:
*
Problem 1: The small angle looks like a straight line plus a little bit, roughly 190°? No, wait, the arc shows the reflex angle. The inner angle looks like roughly 150°.
* Calculation: $360 - 150 = 210$.
* *Correction*: Looking closer, the inner angle is obtuse, maybe around 140°-150°. Let's assume the inner angle is
150°.
* Reflex Angle = $360 - 150 = \mathbf{210^\circ}$.
*
Problem 2: The inner angle is acute, looking like roughly 70°.
* Calculation: $360 - 70 = \mathbf{290^\circ}$.
*
Problem 3: The inner angle is obtuse, looking like roughly 110°.
* Calculation: $360 - 110 = \mathbf{250^\circ}$.
*
Problem 4: The inner angle is very small/acute, maybe 30°.
* Calculation: $360 - 30 = \mathbf{330^\circ}$.
*
Problem 5: The inner angle is obtuse, similar to #3 but slightly wider, maybe 120°.
* Calculation: $360 - 120 = \mathbf{240^\circ}$.
*
Problem 6: The inner angle is very small, similar to #4, maybe 20° or 30°. Let's say 30°.
* Calculation: $360 - 30 = \mathbf{330^\circ}$.
*
Problem 7: The inner angle is obtuse, looks like 135°.
* Calculation: $360 - 135 = \mathbf{225^\circ}$.
*
Problem 8: The inner angle is obtuse, looks like 120°.
* Calculation: $360 - 120 = \mathbf{240^\circ}$.
How to get the exact answer:
Place your protractor on the vertex (the corner point). Measure the
smaller white angle first. Then do the math:
360 minus that number.
Final Answer:
Use the formula: 360° - (Inner Angle) = Reflex Angle
*(Estimated values based on visual inspection—please measure with your protractor for exact homework grades)*:
1.
210° (if inner is 150°)
2.
290° (if inner is 70°)
3.
250° (if inner is 110°)
4.
330° (if inner is 30°)
5.
240° (if inner is 120°)
6.
330° (if inner is 30°)
7.
225° (if inner is 135°)
8.
240° (if inner is 120°)
Parent Tip: Review the logic above to help your child master the concept of reflex angles worksheet.
