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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

  1. Identify the definition of an acute angle.
  2. 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

  1. Option A: 78° - This is less than 90°, so it is an acute angle.
  2. Option B: 90° - This is precisely 90°, which classifies it as a right angle, not acute.
  3. Option C: 112° - This is greater than 90°, making it an obtuse angle, not acute.
  4. 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°.

This problem has been solved

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