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# Angle Theorems &amp; Definitions (Review)

Angle Theorems &amp; 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 &amp; Definitions (Review)

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1. Angle Theorems & Definitions (Review)

2. Supplementary = 180° • Complementary = 90°

3. Vertical Angles Theorem • Vertical angles are equal in measure

4. Linear Pair • A pair of adjacent angles that are supplementary 120˚ 60˚

5. Ex 1)

6. Ex 2) Write out equations for congruent relations & supplementary relationships

7. Triangle Sum Theorem • The sum of the angles in a triangle will always equal 180° x°+ y°+ z°= 180˚ x° y° z°

8. Base Angle Theorem Pt. 1 • Base angles in an isosceles triangle are always congruent X° X° x° = x°

9. Base Angle Theorem Pt.2 • If the base angles are congruent, then the sides are congruent X X x cm = xcm

10. Equilateral Triangles • All sides are congruent • All angles = 60°

11. Ex 3) m∠L = ____________ J 42° K 35° L

12. Ex 5) Find the measure of each angle

13. x = ______ y = ______ m∠A = _________ m∠B = __________ m∠C = _________

14. m∠COD = _____m∠GOF = _____ m∠BOA = ______m∠FOE = _____ m∠AOG = ______m∠EOD = _____ m∠GOE = ______m∠COE = _____

15. #1 m∠BAE = 50°, m∠DAC=_____ 50˚ 50˚ 50˚

16. #2 m∠BAE = 70°, m∠DAB=_____ 110˚ 110˚ 70˚

17. #3 m∠DAB = 6x+24m∠EAC = 5x – 49 SOLVE FOR X 6x + 24 5x + 49 X = 25

18. #4 m∠DAB = 4x+5m∠DAC = 2x + 1 SOLVE FOR X 4x + 5 2x + 1 X = 29

19. #5 m∠MNL = 50˚ m∠INJ= __________ 50˚ 50˚ 50˚

20. #6 m∠MNL = 60˚ m∠JNK= __________ 30˚ 60˚ 30˚

21. #7 m∠INM = 3x+5 m∠MNL=x+15Find the measure of each angle X = 40 125˚ 55˚ 55˚ 90˚ 35˚

22. #8 m∠JNI = 3x+5 m∠JNK=x+15Solve for x x = 17.5 3x+5 x+15

23. m∠A = 70˚ m∠C = 50˚ m∠B = _____ 70˚ 60˚ 50˚

24. m∠A = 80˚ m∠B = 20˚ m∠C = _____ 80˚ 20˚ 80˚

25. Solve for x X = 9 20x = 180 7x + 1 7x – 2 6x + 1

26. m∠7 = 50˚ m∠3 = 70˚ Find all other angle measures 50˚ 120˚ 60˚ 70˚ 110˚ 60˚ 120˚

27. m∠2 = 55˚ m∠7 = 80˚ Find all other angle measures 80˚ 125˚ 55˚ 45˚ 135˚ 55˚ 125˚

28. m∠3 = 65˚ Find all other angle measures 50˚ 115˚ 65˚ 65˚ 115˚ 65˚ 115˚

29. m∠7 = 70˚ Find all other angle measures 70˚ 125˚ 55˚ 55˚ 125˚ 55˚ 125˚

30. m∠2 = 78˚ Find all other angle measures 24˚ 102˚ 78˚ 78˚ 102˚ 78˚ 102˚

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