angle theorems & definitions (review). supplementary = 180 ° complementary = 90°
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Angle Theorems & Definitions (Review)
Angle Theorems & Definitions (Review)Supplementary = 180
Complementary = 90Vertical Angles TheoremVertical angles are equal in measure
Linear PairA pair of adjacent angles that are supplementary
Ex 1)
Ex 2) Write out equations for congruent relations & supplementary relationshipsTriangle Sum TheoremThe sum of the angles in a triangle will always equal 180xyzx + y + z = 180Base Angle Theorem Pt. 1Base angles in an isosceles triangle are always congruent
XXx = xBase Angle Theorem Pt.2If the base angles are congruent, then the sides are congruent
XXx cm = x cm Equilateral TrianglesAll sides are congruentAll angles = 60
4235JKLEx 3) mL = ____________80Ex 4) Find the measures of the two missing anglesEx 5) Find the measure of each angle
#1 mBAE = 50, mDAC=_____
505050#2 mBAE = 70, mDAB=_____
70110110#3 mDAB = 6x+24 mEAC = 5x 49
SOLVE FOR X5x + 496x + 24 X = 25 #4 mDAB = 4x+5 mDAC = 2x + 1
SOLVE FOR X2x + 14x + 5 X = 29 #5 mMNL = 50 mINJ= __________
505050 #6 mMNL = 60 mJNK= __________
306030#7 mINM = 3x+5 mMNL=x+15Find the measure of each angle
125X = 40 55553590#8 mJNI = 3x+5 mJNK=x+15Solve for x
3x+5x = 17.5 x+15mA = 70 mC = 50 mB = _____
7060 50mA = 80 mB = 20 mC = _____
8020 80Solve for x
7x 26x + 17x + 1X = 920x = 180m7 = 50 m3 = 70 Find all other angle measures
7060 5060 120 120 110 m2 = 55 m7 = 80 Find all other angle measures
4555 8055 125 125 135 m3 = 65 Find all other angle measures
6565 5065 115 115 115 m7 = 70 Find all other angle measures
5555 7055 125 125 125 m2 = 78 Find all other angle measures
7878 2478 102 102 102