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3 years ago

Can someone please help me?? I really really need help

Mathematics

1 answer:

uysha [10]3 years ago

3 0

6) AEB + BEC + DEC = 180

70 + BEC + 30 = 180

BEC + 100 = 180

BEC = 80°

7) ∠2 ≅ ∠4 because they are vertical angles

∠2 = ∠4 definition of congruency

88° = ∠4 substitution

8) complement means their sum equals 90°

20° + x = 90°

x = 70°

9) AEB + BED = 180 because they are a linear pair

AEB + 120 = 180

AEB = 60°

10) ∠2 + ∠3 = 180 because they are a linear pair

5x + 10 + x + 50 = 180 substitution

6x + 60 = 180 simplify (add like terms)

6x = 120 subtraction property of equality

x = 20 division property of equality

11) ∠1 ≅ ∠3 because they are vertical angles

∠1 = ∠3 definition of congruency

3x - 40 = x + 10 substitution

2x - 40 = 10 subtraction property of equality

2x = 50 addition property of equality

x = 25 division property of equality

12) AEB + CEB + CED = 180 supplementary angles

4x + 9x + 2x = 180 substitution

15x = 180 simplify (add like terms)

x = 12 division property of equality

CED = 2x = 2(12) = 24°

13) complement means their sum equals 90°

x + complement = 90°

complement = 90° - x

14) supplement means their sum equals 180°

5x + 30° + supplement = 180°

5x + supplement = 150°

supplement = (150 - 5x)°

15) x + 8x = 180

9x = 180

x = 20

8x = 8(20) = 160°

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