special pairs of angles. congruent angles: two angles that have equal measures
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Congruent AnglesCongruent Angles: : Two angles that Two angles that
havehave equal equal measures.measures.
Angle BisectorAngle Bisector: a : a ray that divides an ray that divides an angle into 2 angle into 2 congruent angles.congruent angles.
Adjacent AnglesAdjacent Angles: two : two coplanar angles that coplanar angles that share a common vertex share a common vertex and side, but have no and side, but have no interior points in interior points in common.common.
Linear PairLinear Pair: A pair of : A pair of adjacent angles adjacent angles whose non-common whose non-common sides are opposite sides are opposite rays.rays.
Vertical AnglesVertical Angles: : Two non-adjacent Two non-adjacent angles formed angles formed when 2 lines when 2 lines intersectintersect
m ABC m CBD m ABD
The Angle Addition The Angle Addition PostulatePostulate: If C is a point : If C is a point in the interior of in the interior of then:then:
ABD
Supplementary Supplementary AnglesAngles: Two : Two angles whose angles whose measures total 180measures total 180
Suppose two angles are Suppose two angles are supplementary. If one supplementary. If one angle is 30 degrees, angle is 30 degrees, what is the measure of what is the measure of its supplement?its supplement?
150
Suppose two angles are Suppose two angles are congruent and congruent and supplementary. What supplementary. What are their measures?are their measures?
90
Suppose two angles are Suppose two angles are supplementary. If one supplementary. If one angle is angle is xx degrees, what degrees, what is the measure of its is the measure of its supplement?supplement?
180 x
Complementary Complementary AnglesAngles: Two : Two angles whose angles whose measures total 90measures total 90
Suppose two angles are Suppose two angles are complementary. If one complementary. If one angle is 30 degrees, angle is 30 degrees, what is the measure of what is the measure of its complement?its complement?
60
Suppose two angles are Suppose two angles are congruent and congruent and complementary. What complementary. What are their measures?are their measures?
45
Suppose two angles are Suppose two angles are complementary. If one complementary. If one angle is angle is xx degrees, what degrees, what is the measure of its is the measure of its complement?complement?
90 x
Perpendicular Perpendicular LinesLines: Two lines : Two lines that intersect to that intersect to form right angles.form right angles.
But you only need 1 right But you only need 1 right angle to know they are angle to know they are Perpendicular Lines: Perpendicular Lines:
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