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Shalnov [3]
3 years ago
14

If abd = 74º what are abc and dbc? ​

Mathematics
2 answers:
Lady_Fox [76]3 years ago
7 0

Answer:

∠ABC = 32

∠DBC = 42

Step-by-step explanation:

∠ABD = ∠ABC + ∠DBC

74 = 5x - 3 + 5x + 7

= 5x + 5x + 7 - 3

74 = 10x + 4

74 - 4 = 10x

70 = 10x

x = 70 / 10

x = 7

∠ABC = 5x - 3

= 5 ( 7 ) - 3

= 35 - 3

∠ABC = 32

∠ABD = ∠ABC + ∠DBC

∠DBC = ∠ABD - ∠ABC

= 74 - 32

∠DBC = 42

Aleks [24]3 years ago
3 0

Step-by-step explanation:

5x-3+5x+7=10x+4

10x+4=74

10x=74-4

10x=70

x=70/10=7

for abc

5x-3

5(7)-3

35-3=32

for dbc

5x+7

5(7)+7

35+7=42

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