Which of the following is the measure of an acute angle?A.78°B.90°C.112°D.182°SUBMITarrow_backPREVIOUS
Question
Which of the following is the measure of an acute angle?
- A. 78°
- B. 90°
- C. 112°
- D. 182°
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Solution
Break Down the Problem
- Identify the definition of an acute angle.
- Evaluate each option to determine which corresponds to an acute angle.
Relevant Concepts
- An acute angle is defined as an angle that is less than 90 degrees.
Analysis and Detail
- Option A: 78° - This is less than 90°, so it is an acute angle.
- Option B: 90° - This is precisely 90°, which classifies it as a right angle, not acute.
- Option C: 112° - This is greater than 90°, making it an obtuse angle, not acute.
- Option D: 182° - This angle is also greater than 90°, therefore it is classified as a reflex angle.
Verify and Summarize
Upon examining all the options, only option A, 78°, meets the criteria for being an acute angle as it is less than 90°.
Final Answer
The measure of an acute angle is A. 78°.
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