Identify and Classify Angles

Identify and Classify Angles : 

Identify and Classify Angles

ANGLE (∠) : 

An angle (∠) is a figure formed by two rays with a common endpoint. You can call this angle: ∠YZX, ∠XZY, ∠Z OR ∠1 ANGLE (∠) X Y Z Ray Ray 1(

VERTEX : 

The vertex is the point of intersection of two sides of an angle or figure. VERTEX X Y Z Ray Ray 1( Vertex

ANGLE CLASSIFICATIONS : 

ANGLE CLASSIFICATIONS Acute Angle Right Angle Obtuse Angle Straight Angle Between 0° and 90 ° Between 90° and 180 ° 90 ° 180 ° ┓

COMPLEMENTARY ANGLES : 

Two angles are complementary if they add up to 90 degrees (a Right Angle). COMPLEMENTARY ANGLES 52° 38 °

SUPPLEMENTARY ANGLES : 

Two angles are supplementary if they add up to 180 degrees (a Straight Line). SUPPLEMENTARY ANGLES 64 ° 116 °

Finding Complements and Supplements : 

If ∠L and ∠P are supplementary and the measure of ∠L is 37°, what is the measure of ∠P? Write an equation. Let x = the measure of ∠P X + 37° = 180° X + 37° - 37° = 180° - 37° X = 143° The measure of ∠P is 143°. Finding Complements and Supplements The angles are supplementary. Subtract 37 ° from each side. Simplify.

Adjacent Angles : 

Two angles are adjacent if they have a common side and a common vertex (corner point). Angles a and b are adjacent angles. Adjacent Angles a b c d

Vertical Angles : 

Vertical angles are formed by two intersecting lines and are opposite each other. Vertical angles have equal measures. Angles a and c are vertical angles. Vertical Angles a b c d Angles with equal measure are Congruent Angles.

Find the Angle Measures : 

Find the measures of ∠1, ∠2, ∠3, for m∠4 = 128°. m∠1 = 180° - 128° = 52° m∠2 = 128° M∠3 = 52° Find the Angle Measures 1 2 3 4 ∠4 and∠1 are supplementary. ∠2 and∠4 are vertical angles. ∠1 and∠3 are vertical angles.