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An angle measures 120°. What is the measure of its corresponding acute angle?

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Question: An angle measures 120°. What is the measure of its corresponding acute angle?

Options:

  1. 30°
  2. 60°
  3. 90°
  4. 120°

Correct Answer: 30°

Solution: 

The corresponding acute angle is found by subtracting from 180°. Therefore, 180° - 120° = 60°.

An angle measures 120°. What is the measure of its corresponding acute angle?

Practice Questions

Q1
An angle measures 120°. What is the measure of its corresponding acute angle?
  1. 30°
  2. 60°
  3. 90°
  4. 120°

Questions & Step-by-Step Solutions

An angle measures 120°. What is the measure of its corresponding acute angle?
  • Step 1: Understand that an acute angle is an angle that measures less than 90°.
  • Step 2: Recognize that the angle given is 120°, which is not acute.
  • Step 3: Know that the corresponding acute angle can be found by subtracting the given angle from 180°.
  • Step 4: Perform the subtraction: 180° - 120° = 60°.
  • Step 5: Conclude that the measure of the corresponding acute angle is 60°.
  • Complementary Angles – Understanding that acute angles are those less than 90°, and the relationship between angles that sum to 180°.
  • Angle Relationships – Recognizing that the acute angle corresponding to an obtuse angle can be found by subtracting from 180°.
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