1. What is an Obtuse Angle?

An obtuse angle is any angle greater than 90 degrees but less than 180 degrees. It's wider than a right angle (exactly 90°) and narrower than a straight angle (exactly 180°).

2. How Does the Calculator Work?

The calculator uses a simple comparison:

Where:

• \( \text{angle} \) — The angle in degrees to be evaluated
• \( \text{Obtuse} \) — Boolean result (true/false)

Explanation: The calculator simply checks if the input angle is greater than 90 degrees.

3. Importance of Angle Classification

Details: Classifying angles is fundamental in geometry, trigonometry, and various practical applications like construction, engineering, and design.

4. Using the Calculator

Tips: Enter any angle in degrees (0-360). The calculator will determine if it's obtuse (greater than 90°).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between obtuse and acute angles?
A: Acute angles are less than 90°, right angles are exactly 90°, and obtuse angles are greater than 90° but less than 180°.

Q2: Can an angle be both obtuse and reflex?
A: No, reflex angles are greater than 180° while obtuse angles are between 90° and 180°.

Q3: Are all triangles with obtuse angles obtuse triangles?
A: Yes, an obtuse triangle has exactly one angle greater than 90°.

Q4: What real-world objects have obtuse angles?
A: Many roof designs, open books, and certain types of scissors form obtuse angles.

Q5: How precise is this calculator?
A: It will accurately classify any angle input with up to 4 decimal places of precision.