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Chapter 4: Problem 4

The measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. $$87.177^{\circ}$$

Short Answer

Expert verified
The angle measuring \(87.177^\circ\) is an acute angle.

Step by step solution

01

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.
02

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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