Identify Angle ABC: Is This a 90-Degree Right Angle?

Q: How can I remember the difference between angle types?

Use these simple rules: Acute angles are less than 90° (think 'a-cute' small angle), Right angles are exactly 90° (like a corner of a square), Obtuse angles are between 90° and 180° (wider than a right angle), and Straight angles are exactly 180° (a straight line).

Q: What if the diagram doesn't look like a right angle?

Always trust the numerical measurement over the visual appearance! Diagrams in math problems aren't always drawn to scale. If the problem states the angle is 90°, it's a right angle even if it doesn't look perfectly square.

Q: Why is 90° called a 'right' angle?

The word 'right' comes from the Latin word rectus meaning 'upright' or 'straight.' A right angle creates a perfect corner, like the corner of a rectangle or the intersection of perpendicular lines.

Q: How do I identify right angles in real life?

Look for square corners everywhere! Book corners, door frames, window edges, and floor tiles all have right angles. You can also use the corner of a piece of paper as a right angle tester.

Q: Are there any special symbols for right angles?

Yes! Right angles are often marked with a small square in the corner of the angle. This square symbol means 'right angle' even without writing 90°.

Angle Classification with Right Angle Identification

$∢\text{ABC}$ equal to 90°.

What angle is it?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$∢\text{ABC}$ equal to 90°.

What angle is it?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the angle measure provided.
Step 2: Match the angle measure to the corresponding type of angle.
Step 3: Choose the correct type of angle from the multiple-choice options.

Let's break down the process:

Step 1: The problem specifies that $\angle \text{ABC} = 90^\circ$ .

Step 2: Recall the definitions of angle types. A right angle is defined as an angle that measures exactly 90 degrees.

Step 3: Out of the provided choices, select the one that represents a right angle.
- Right angle: $\angle = 90^\circ$ (Correct Choice)
- Acute angle: $\angle < 90^\circ$
- Obtuse angle: $\angle > 90^\circ$ and $\angle < 180^\circ$
- Flat angle: $\angle = 180^\circ$

Thus, the conclusion is that $\angle \text{ABC}$ is a Right angle.

Final Answer

Right angle

Key Points to Remember

Essential concepts to master this topic

Definition: Right angles measure exactly $90°$
Identification: Look for square corner symbol or 90-degree measurement
Verification: Check if angle equals exactly 90° using measurement or visual cues ✓

Common Mistakes

Avoid these frequent errors

Confusing angle types based on appearance only
Don't guess angle types just by looking at the drawing without checking the measurement! Visual appearances can be deceiving in diagrams. Always read the given angle measure first - if it says 90°, it's automatically a right angle regardless of how it looks.

Practice Quiz

Test your knowledge with interactive questions

a is parallel to b.

Calculate the angles shown in the diagram.

FAQ

Everything you need to know about this question

How can I remember the difference between angle types?

Use these simple rules: Acute angles are less than 90° (think 'a-cute' small angle), Right angles are exactly 90° (like a corner of a square), Obtuse angles are between 90° and 180° (wider than a right angle), and Straight angles are exactly 180° (a straight line).

What if the diagram doesn't look like a right angle?

Always trust the numerical measurement over the visual appearance! Diagrams in math problems aren't always drawn to scale. If the problem states the angle is 90°, it's a right angle even if it doesn't look perfectly square.

Why is 90° called a 'right' angle?

The word 'right' comes from the Latin word rectus meaning 'upright' or 'straight.' A right angle creates a perfect corner, like the corner of a rectangle or the intersection of perpendicular lines.

How do I identify right angles in real life?

Look for square corners everywhere! Book corners, door frames, window edges, and floor tiles all have right angles. You can also use the corner of a piece of paper as a right angle tester.

Are there any special symbols for right angles?

Yes! Right angles are often marked with a small square in the corner of the angle. This square symbol means 'right angle' even without writing 90°.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Angles questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Identify Angle ABC: Is This a 90-Degree Right Angle?

Angle Classification with Right Angle Identification

❤️ Continue Your Math Journey!

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

How can I remember the difference between angle types?

What if the diagram doesn't look like a right angle?

Why is 90° called a 'right' angle?

How do I identify right angles in real life?

Are there any special symbols for right angles?

🌟 Unlock Your Math Potential

More Questions

Types of Aangles (Right, Acute, Obtuse, Flat)

Angle Classification: Identify the Type of ∢ABC in Geometric Notation

Isosceles Triangle Analysis: Comparing Angles B and C with Predominant Angle A

Identifying angles

Classify Angle ABC: Identifying an Angle Less Than 90 Degrees

Angle Comparison in Scalene Triangles: Which is Larger, Angle C or A?