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Angle Theorems & Definitions (Review). Supplementary = 180° Complementary = 90°. Vertical Angles Theorem. Vertical angles are equal in measure. Linear Pair. A pair of adjacent angles that are supplementary. 120˚. 60˚. Ex 1).

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## Angle Theorems & Definitions (Review)

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**Supplementary = 180°**• Complementary = 90°**Vertical Angles Theorem**• Vertical angles are equal in measure**Linear Pair**• A pair of adjacent angles that are supplementary 120˚ 60˚**Ex 2) Write out equations for congruent relations &**supplementary relationships**Triangle Sum Theorem**• The sum of the angles in a triangle will always equal 180° x°+ y°+ z°= 180˚ x° y° z°**Base Angle Theorem Pt. 1**• Base angles in an isosceles triangle are always congruent X° X° x° = x°**Base Angle Theorem Pt.2**• If the base angles are congruent, then the sides are congruent X X x cm = xcm**Equilateral Triangles**• All sides are congruent • All angles = 60°**Ex 3) m∠L = ____________**J 42° K 35° L**x = ______ y = ______**m∠A = _________ m∠B = __________ m∠C = _________**m∠COD = _____m∠GOF = _____**m∠BOA = ______m∠FOE = _____ m∠AOG = ______m∠EOD = _____ m∠GOE = ______m∠COE = _____**#1 m∠BAE = 50°, m∠DAC=_____**50˚ 50˚ 50˚**#2 m∠BAE = 70°, m∠DAB=_____**110˚ 110˚ 70˚**#3 m∠DAB = 6x+24m∠EAC = 5x – 49**SOLVE FOR X 6x + 24 5x + 49 X = 25**#4 m∠DAB = 4x+5m∠DAC = 2x + 1**SOLVE FOR X 4x + 5 2x + 1 X = 29**#5 m∠MNL = 50˚ m∠INJ= __________**50˚ 50˚ 50˚**#6 m∠MNL = 60˚ m∠JNK= __________**30˚ 60˚ 30˚**#7 m∠INM = 3x+5 m∠MNL=x+15Find the measure of each**angle X = 40 125˚ 55˚ 55˚ 90˚ 35˚**#8 m∠JNI = 3x+5 m∠JNK=x+15Solve for x**x = 17.5 3x+5 x+15**m∠A = 70˚ m∠C = 50˚ m∠B = _____**70˚ 60˚ 50˚**m∠A = 80˚ m∠B = 20˚ m∠C = _____**80˚ 20˚ 80˚**Solve for x**X = 9 20x = 180 7x + 1 7x – 2 6x + 1**m∠7 = 50˚ m∠3 = 70˚ Find all other angle measures**50˚ 120˚ 60˚ 70˚ 110˚ 60˚ 120˚**m∠2 = 55˚ m∠7 = 80˚ Find all other angle measures**80˚ 125˚ 55˚ 45˚ 135˚ 55˚ 125˚**m∠3 = 65˚ Find all other angle measures**50˚ 115˚ 65˚ 65˚ 115˚ 65˚ 115˚**m∠7 = 70˚ Find all other angle measures**70˚ 125˚ 55˚ 55˚ 125˚ 55˚ 125˚**m∠2 = 78˚ Find all other angle measures**24˚ 102˚ 78˚ 78˚ 102˚ 78˚ 102˚

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