Question

question 29 of 40

which of the following is the measure of an acute angle?

a. 180°
b. 93°
c. 112°
d. 82°

Explanation:

Define an acute angle

An acute angle is defined as an angle whose measure is strictly between \(0^\circ\) and \(90^\circ\):

$$ 0^\circ < \theta < 90^\circ $$

Evaluate the given options

• \(180^\circ\) is a straight angle.
• \(93^\circ\) is an obtuse angle because \(90^\circ < 93^\circ < 180^\circ\).
• \(112^\circ\) is an obtuse angle because \(90^\circ < 112^\circ < 180^\circ\).
• \(82^\circ\) is an acute angle because \(0^\circ < 82^\circ < 90^\circ\).

Answer:

• A. \(180^\circ\)
• B. \(93^\circ\)
• C. \(112^\circ\)
• D. \(82^\circ\) (Correct answer)