Right Angle Verification: Determining 90-Degree Angles in Geometry

Right Angle Definition with Standard Measurements

right angle?

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Step-by-step written solution

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1

Understand the problem

right angle?

2

Step-by-step solution

To solve this problem, we need to recall the definition of a right angle.

A right angle is defined as an angle that measures exactly 90 90^\circ . This is a standard definition found in geometry, describing an angle formed by the intersection of two perpendicular lines.

Given the multiple-choice options, we need to identify which one corresponds to a right angle:

  • A right angle measures 90 90^\circ .

Let's examine the provided choices:

  1. Angle of 180°.
  2. Minor angle of 90°.
  3. Angle of 90°.
  4. Angle greater than 90°.

Choice 3, "Angle of 90°," directly matches the definition of a right angle.

Therefore, the correct answer is Angle of 90°.

3

Final Answer

Angle of 90°.

Key Points to Remember

Essential concepts to master this topic
  • Definition: A right angle measures exactly 90 90^\circ by definition
  • Recognition: Right angles form when two perpendicular lines intersect
  • Check: Verify perpendicular lines create four 90 90^\circ angles at intersection ✓

Common Mistakes

Avoid these frequent errors
  • Confusing right angles with straight angles
    Don't think a right angle is 180 180^\circ = that's a straight line! This confuses perpendicular intersections with flat lines. Always remember right angles are exactly 90 90^\circ - half of a straight angle.

Practice Quiz

Test your knowledge with interactive questions

a is parallel to b.

Calculate the angles shown in the diagram.

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FAQ

Everything you need to know about this question

What makes an angle "right" instead of just any angle?

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A right angle is special because it measures exactly 90 90^\circ ! This creates perpendicular lines that meet at perfect square corners, like the corners of a rectangle.

How is a right angle different from other angle types?

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Right angles: 90 90^\circ
Acute angles: Less than 90 90^\circ
Obtuse angles: Greater than 90 90^\circ but less than 180 180^\circ
Straight angles: Exactly 180 180^\circ

Why do we use the degree symbol instead of just saying 90?

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The degree symbol (°) tells us we're measuring angles, not distance or other quantities. Without it, "90" could mean anything - 90 inches, 90 apples, or 90 seconds!

Can I see right angles in real life?

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Absolutely! Right angles are everywhere: book corners, door frames, picture frames, and floor tiles. They're used in construction because they create stable, square structures.

What does "minor angle of 90°" mean in the choices?

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This is a confusing distractor! The term "minor angle" usually refers to the smaller angle when two lines intersect, but 90 90^\circ is just 90 90^\circ - there's no "minor" about it.

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