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The measure of a reflex angle is than 1...

The measure of a reflex angle is than `180^@` and than `360^@`.

A

Smaller, greater

B

Smaller, smaller

C

Greater, smaller

D

Greater, greater

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the measure of a reflex angle, we need to understand the definitions of angles, specifically reflex angles. ### Step-by-Step Solution: 1. **Understanding Reflex Angles**: - A reflex angle is defined as an angle that measures more than 180 degrees but less than 360 degrees. 2. **Identifying the Range**: - Since a full circle is 360 degrees, any angle that is more than 180 degrees but less than 360 degrees qualifies as a reflex angle. 3. **Setting Up the Inequalities**: - From the definition, we can set up the inequalities: - Reflex angle > 180 degrees - Reflex angle < 360 degrees 4. **Choosing the Correct Options**: - Based on the inequalities, we can conclude that the measure of a reflex angle is: - Greater than 180 degrees - Less than 360 degrees 5. **Final Answer**: - Therefore, the correct options to fill in the blanks are: - Greater than 180 degrees - Less than 360 degrees ### Summary of the Answer: The measure of a reflex angle is **greater than 180 degrees** and **less than 360 degrees**.
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