Right Angle Identification: Determining 90-Degree Intersection

Q: How can I tell this is a right angle and not a straight angle?

Look for the small square symbol at the intersection! This square indicates a $90^\circ$ angle. A straight angle would show two lines continuing in opposite directions without the square marker.

Q: What's the difference between right and straight angles?

A right angle measures exactly $90^\circ$ and looks like an L-shape. A straight angle measures $180^\circ$ and forms a straight line with no bend.

Q: Why does the diagram show a square at the corner?

The small square is the universal symbol for a right angle! It tells you immediately that the angle measures exactly $90^\circ$, just like how we use degree symbols for temperature.

Q: Can two perpendicular lines form any angle other than 90°?

No! By definition, perpendicular lines always meet at exactly $90^\circ$. If the angle were different, the lines wouldn't be perpendicular anymore.

Q: How do I remember which angle is which?

Acute: Less than $90^\circ$ (sharp/small)Right: Exactly $90^\circ$ (corner of a square)Obtuse: More than $90^\circ$ but less than $180^\circ$ (wide)Straight: Exactly $180^\circ$ (forms a line)

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine the type of angle

00:03 The angle is a right angle, measuring 90 degrees

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Determine the type of angle given.

2

Step-by-step solution

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

Step 1: Examine the diagram presented.
Step 2: Identify any familiar angle formations or configurations.
Step 3: Use knowledge of angles to classify the type shown.
Step 4: Determine the correct response from available options.

Observing the diagram:

The diagram includes two lines, one horizontal and the other vertical, extending fully. This horizontal extent along with the linear continuation suggests it forms an angle at the intersection with $180^\circ$ . This indicates a straight angle.

We classify straight angles because an angle formed by two lines directly facing opposite directions is known to measure $180^\circ$ . This diagrammatic representation aligns perfectly to confirm it calculates and visually shows a straight angle.

Thus, by recognizing these details within the diagram, we confirm the type of angle as Straight.

3

Final Answer

Right

Key Points to Remember

Essential concepts to master this topic

Definition: Right angles measure exactly $90^\circ$ at perpendicular intersections
Recognition: Look for square corner symbol or perpendicular lines meeting
Verification: Check if lines form perfect L-shape with square indicator ✓

Common Mistakes

Avoid these frequent errors

Confusing right angles with straight angles
Don't assume perpendicular lines form a straight angle = 180° mistake! The diagram shows two lines meeting at 90°, not continuing in opposite directions. Always look for the square corner symbol which indicates a right angle, not a straight line.

Practice Quiz

Test your knowledge with interactive questions

Is the straight line in the figure the height of the triangle?

FAQ

Everything you need to know about this question

How can I tell this is a right angle and not a straight angle?

+

Look for the small square symbol at the intersection! This square indicates a $90^\circ$ angle. A straight angle would show two lines continuing in opposite directions without the square marker.

What's the difference between right and straight angles?

+

A right angle measures exactly $90^\circ$ and looks like an L-shape. A straight angle measures $180^\circ$ and forms a straight line with no bend.

Why does the diagram show a square at the corner?

+

The small square is the universal symbol for a right angle! It tells you immediately that the angle measures exactly $90^\circ$ , just like how we use degree symbols for temperature.

Can two perpendicular lines form any angle other than 90°?

+

No! By definition, perpendicular lines always meet at exactly $90^\circ$ . If the angle were different, the lines wouldn't be perpendicular anymore.

How do I remember which angle is which?

+

Acute: Less than $90^\circ$ (sharp/small)
Right: Exactly $90^\circ$ (corner of a square)
Obtuse: More than $90^\circ$ but less than $180^\circ$ (wide)
Straight: Exactly $180^\circ$ (forms a line)

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Right Angle Identification: Determining 90-Degree Intersection

Angle Classification with Perpendicular Lines

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