DEGREE ANGLE
Definition Of Degree (Angle)
Degree is the basic unit for measuring the size of an angle. It is equivalent to %201.gif)
of a full rotation or full angle.
More About Degree (Angle)
Degrees are represented by the symbol ' ° '.
A protractor is used to measure the angles in degrees.
Example of Degree (Angle)
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Check this protractor and measure the angle ABC.
Angle ABC is made up of two rays BA and BC with the common endpoint B.
ÐABC is the measure between BA and BC.
On the protractor scale, BC is passing through zero and BA is passing through 75°. So, measure of ∠ABC is 75°.
Video Examples: Geometry Lesson: Degrees and Angles
Solved Example on Degree (Angle)
Ques: Find the measure of ∠XYZ.
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Choices:
A. 105°
B. 75°
C. 180°
D. 130°
Correct Answer: A
Solution:
Step 1: ∠XYZ is made up of two rays, YX and YZ with the common endpoint Y.
Step 2: ∠XYZ is the measure between YX and YZ.
Step 3: On the protractor scale, YX is passing through 180° and YZ is passing through 75°.
Step 4: Difference = 180° - 75° = 105° [Subtract.]
Step 5: The measure of ∠XYZ is 105°.
Quick Summary
- Degrees are used to measure angles.
- A full circle is 360 degrees.
- A protractor is used to measure angles in degrees.
🍎 Teacher Insights
Use real-world examples to illustrate angles (e.g., the corner of a book, the hands of a clock). Provide ample practice using protractors.🎓 Prerequisites
- Basic arithmetic
- Understanding of lines and points
Check Your Knowledge
Q1: What is the measure of a right angle?
Q2: If an angle measures 60 degrees, is it acute, obtuse, or right?
Frequently Asked Questions
Q: What is a degree?
A: A degree is a unit of measurement for angles, where a full circle is 360 degrees.
Q: How do you measure an angle in degrees?
A: Use a protractor to measure the angle between two rays.