An angle that measures 178° is classified as which of the following?
An angle that measures 178° is classified as obtuse.
An angle measuring more than 90° but less than 180° is categorized as obtuse. Since 178° falls within this range, it clearly meets the criteria for obtuse angles, distinguishing it from other types of angles.
Acute angles are defined as angles measuring less than 90°. Since 178° exceeds this measurement significantly, it cannot be classified as acute. Thus, this choice is incorrect.
An obtuse angle is characterized by its measurement being greater than 90° and less than 180°. Since 178° meets this definition, it is correctly identified as an obtuse angle, confirming this choice as accurate.
A right angle measures exactly 90°. Since 178° is much greater than 90°, it cannot be classified as a right angle. Therefore, this option is not applicable.
A straight angle measures exactly 180°. While 178° is close to this measurement, it does not equal 180°, thus disqualifying it as a straight angle. Hence, this choice is incorrect.
In summary, an angle measuring 178° is classified as obtuse because it lies within the range of greater than 90° and less than 180°. The other options—acute, right, and straight—do not apply to this angle's measurement, reinforcing the classification of 178° as an obtuse angle. Understanding these distinctions is essential in geometry for categorizing angles accurately.
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