Angle Theorems & Definitions (Review). Supplementary = 180 ° Complementary = 90°

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



7878 2478 102 102 102

Angle Theorems & Definitions (Review). Supplementary = 180 ° Complementary = 90°

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