Measuring Reflex Angles worksheet for educational practice.

To solve the problem of measuring reflex angles in the given worksheet, we need to understand what a reflex angle is and how to measure it. A reflex angle is an angle that measures more than 180° but less than 360°. To find the measure of a reflex angle, we can use the following steps:

Steps to Measure Reflex Angles:

1. Identify the given angle in the diagram.
2. Determine the type of angle (acute, obtuse, or straight) formed by the two rays.
3. If the angle is acute or obtuse, calculate its measure using a protractor.
4. Subtract the measured angle from 360° to find the reflex angle.

Explanation:

- A reflex angle is the larger angle formed when you extend the sides of an angle beyond the vertex.
- For example, if an angle measures 45°, the reflex angle would be \(360° - 45° = 315°\).

Now, let's go through each problem step by step. Since I cannot see the actual image, I will provide a general approach for solving these types of problems. If you can describe the angles or provide specific details about the diagrams, I can tailor the solution further.

---

General Solution Approach for Each Problem:

#### Problem 1:
- Measure the acute or obtuse angle using a protractor.
- Subtract the measured angle from 360° to find the reflex angle.

#### Problem 2:
- Repeat the same process as in Problem 1.

#### Problem 3:
- Measure the acute or obtuse angle.
- Calculate the reflex angle as \(360° - \text{measured angle}\).

#### Problem 4:
- Measure the acute or obtuse angle.
- Calculate the reflex angle as \(360° - \text{measured angle}\).

#### Problem 5:
- Measure the acute or obtuse angle.
- Calculate the reflex angle as \(360° - \text{measured angle}\).

#### Problem 6:
- Measure the acute or obtuse angle.
- Calculate the reflex angle as \(360° - \text{measured angle}\).

#### Problem 7:
- Measure the acute or obtuse angle.
- Calculate the reflex angle as \(360° - \text{measured angle}\).

---

Example Calculation:

Suppose in Problem 1, the measured angle is 60°:
- Reflex angle = \(360° - 60° = 300°\).

If in Problem 2, the measured angle is 120°:
- Reflex angle = \(360° - 120° = 240°\).

---

Final Answer:

Since I don't have the exact measurements from the image, the final answer will depend on the specific angles measured. However, the general formula for finding the reflex angle is:

\[
\boxed{\text{Reflex Angle} = 360° - \text{Measured Angle}}
\]

If you can provide the measured angles for each problem, I can compute the exact reflex angles for you. Let me know!