1. Review for the Angle Quiz
All About Angles
Review for the Angle Quiz

2. An Angle is constructed when the endpoints of two rays meet
Defininition of angle
An Angle is constructed when the endpoints of two rays meet A
A is an Angle

3. Measuring Angles in Degrees
How to measure angles
Measuring Angles in Degrees
A degree represents 1/360 of a complete revolution
So, a full revolution is …………. A
A=360° Degrees!

4. A half of a revolution: 360/2 = 180 A = 180° 360/4 = 90 A = 90°
Degrees
A half of a revolution:
360/2 = 180
A = 180° A
A quarter of a revolution:
360/4 = 90
A = 90° A

5. Measuring Angles in Radians
A Radian is another unit for measuring angles:
360° = 2π radians
To convert between degrees and radians
set up a proportion:
Angle in Degrees = Angle in Radians π

6. A quarter of a revolution:
Degrees
A half of a revolution: A
A = 180°
180°/360° =A/2π
A = π radians
A quarter of a revolution:
A = 90°
90°/360° =A/2π
A = π/2 radians A

7. Types of Angles An acute angle has an measure less than 90°
An obtuse angle has a measure greater than 90°

8. Types of Angles A right angle has a measure of exactly 90°

9. Types of Angles A + B = 90° = π/2
Two angles are complementary if they add up to 90°
Complementary angles
A + B = 90°
= π/2 B A

10. Types of Angles C + D = 180° = π
Supplementary angles
Types of Angles
Two angles are supplementary if they add up to 180°
C + D = 180°
= π D C

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