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Classify the measures of angles below as: Acute, obtuse or reflex angles. \( 25^{\circ}, \mathbf{2 0 0 ^ { \circ }}, \mathbf{9 1 ^ { \circ }}, \mathbf{1 7 0 ^ { \circ }}, \mathbf{1 5 ^ { \circ }}, \mathbf{1 5 0 ^ { \circ }}, \mathbf{3 0 0 ^ { \circ }}, \mathbf{2 1 0 ^ { \circ }} \) \( \mathbf{4 4 ^ { \circ } , \mathbf { 3 4 5 } , \mathbf { 1 4 4 }}, \mathbf{8 8 ^ { \circ }}, \mathbf{7 0 ^ { \circ } , \mathbf { 1 8 8 ^ { \circ } } , \mathbf { 1 1 1 ^ { \circ } } , \mathbf { 2 5 0 ^ { \circ } }} \)

Ask by Hodgson Pope. in Cameroon
Jan 22,2025

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**Angles Classification:** - **Acute (Less than 90°):** 25°, 15°, 44°, 88°, 70° - **Obtuse (90° to 180°):** 91°, 170°, 150°, 144°, 111° - **Reflex (Greater than 180°):** 200°, 300°, 210°, 345°, 188°, 250°

Solution

Certainly! Here is the classification of each angle as **Acute**, **Obtuse**, or **Reflex**: ### First Set of Angles 1. **25°** – **Acute** (Less than 90°) 2. **200°** – **Reflex** (Greater than 180°) 3. **91°** – **Obtuse** (Greater than 90° but less than 180°) 4. **170°** – **Obtuse** (Greater than 90° but less than 180°) 5. **15°** – **Acute** (Less than 90°) 6. **150°** – **Obtuse** (Greater than 90° but less than 180°) 7. **300°** – **Reflex** (Greater than 180°) 8. **210°** – **Reflex** (Greater than 180°) ### Second Set of Angles 1. **44°** – **Acute** (Less than 90°) 2. **345°** – **Reflex** (Greater than 180°) 3. **144°** – **Obtuse** (Greater than 90° but less than 180°) 4. **88°** – **Acute** (Less than 90°) 5. **70°** – **Acute** (Less than 90°) 6. **188°** – **Reflex** (Greater than 180°) 7. **111°** – **Obtuse** (Greater than 90° but less than 180°) 8. **250°** – **Reflex** (Greater than 180°) ### Summary - **Acute Angles (< 90°):** 25°, 15°, 44°, 88°, 70° - **Obtuse Angles (90° < angle < 180°):** 91°, 170°, 150°, 144°, 111° - **Reflex Angles (> 180°):** 200°, 300°, 210°, 345°, 188°, 250° If you have any more angles to classify or need further assistance, feel free to ask!

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Acute angles are less than \( 90^{\circ} \). Therefore, the acute angles from your list are \( 25^{\circ} \) and \( 15^{\circ} \). Obtuse angles are between \( 90^{\circ} \) and \( 180^{\circ} \), so \( 91^{\circ}, 170^{\circ}, 144^{\circ}, 88^{\circ}, 70^{\circ}, 111^{\circ} \) fit this category. Lastly, reflex angles are greater than \( 180^{\circ} \) but less than \( 360^{\circ} \), meaning \( 200^{\circ}, 150^{\circ}, 300^{\circ}, 210^{\circ}, 188^{\circ}, 250^{\circ} \) belong here. So here's the breakdown: - Acute: \( 25^{\circ}, 15^{\circ} \) - Obtuse: \( 91^{\circ}, 170^{\circ}, 144^{\circ}, 88^{\circ}, 70^{\circ}, 111^{\circ} \) - Reflex: \( 200^{\circ}, 150^{\circ}, 300^{\circ}, 210^{\circ}, 188^{\circ}, 250^{\circ} \)

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