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Classify the angles whose magnitudes are...

Classify the angles whose magnitudes are given below.
`50^(@)`
`92^(@)`
`185^(@)`
`90^(@)`
`180^(@)`

Text Solution

AI Generated Solution

The correct Answer is:
To classify the angles given in the question, we will follow these steps: ### Step-by-Step Solution: 1. **Identify the Angle Types**: - **Acute Angle**: An angle that measures less than 90 degrees. - **Right Angle**: An angle that measures exactly 90 degrees. - **Obtuse Angle**: An angle that measures more than 90 degrees but less than 180 degrees. - **Straight Angle**: An angle that measures exactly 180 degrees. - **Reflex Angle**: An angle that measures more than 180 degrees. 2. **Classify Each Angle**: - **50 degrees**: Since 50 is less than 90, it is classified as an **Acute Angle**. - **92 degrees**: Since 92 is greater than 90 but less than 180, it is classified as an **Obtuse Angle**. - **185 degrees**: Since 185 is greater than 180, it is classified as a **Reflex Angle**. - **90 degrees**: Since 90 is exactly 90, it is classified as a **Right Angle**. - **180 degrees**: Since 180 is exactly 180, it is classified as a **Straight Angle**. ### Final Classification: - **50 degrees**: Acute Angle - **92 degrees**: Obtuse Angle - **185 degrees**: Reflex Angle - **90 degrees**: Right Angle - **180 degrees**: Straight Angle
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