Review for the Angle Quiz Defininition of angle

Review for the Angle Quiz

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

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!

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

Radians 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 360 2π

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

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

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

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

Types of Angles Suppleme ntary angles Two angles are supplementary if they add up to 180° D C C + D = 180° =π

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