iCoachMath
STEM Excellence Series: Empowering the Next Generation
DEGREE_ANGLE_
Degree (Angle_)
Definition of Degree (Angle)
Degree is the basic unit for measuring the size of an angle. It is equivalent to 
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)
- 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.
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 represented by the symbol '°'.
- A protractor is used to measure angles in degrees.
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🍎 Teacher Insights
Use real-world examples like pizza slices or clock hands to illustrate angle degrees. Emphasize the importance of accurate protractor alignment.🎓 Prerequisites
- Basic geometric shapes
- Understanding of rotations
Check Your Knowledge
Q1: What is the measure of a right angle?
Q2: If an angle measures 60 degrees, what fraction of a full rotation is it?
Frequently Asked Questions
Q: What is a full rotation in degrees?
A: A full rotation is 360 degrees.
Q: How do you measure an angle with a protractor?
A: Align the protractor's base with one ray of the angle and the center point with the vertex. Read the degree measure where the other ray intersects the protractor scale.