Problem 4
Question
The measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. $$87.177^{\circ}$$
Step-by-Step Solution
Verified Answer
The angle measuring \(87.177^\circ\) is an acute angle.
1Step 1: Determine the range of angle measure
Compare the measure of the angle with the standard measures for the four categories. Acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are more than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.
2Step 2: Classify the angle
Considering the given measure of the angle, which is \(87.177^\circ\), we can see that it is less than 90 degrees so it falls into the category of acute angles.
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