Respuesta :

Answer:

<ABD = 140°

<DBC = 40°

Step-by-step explanation:

<ABD + <DBC = 180°

15x - 4 + 5x - 8 = 180

20x - 12 = 180

20x = 192

x = 9.6

<ABD = 15(9.6) - 4 = 140°

<DBC = 5(9.6) - 8 = 40°

Answer:

m∠ABD = 140° and m∠DBC = 40°

Step-by-step explanation:

∵ ABC is a straight angle

∴ m∠ABD + m∠DBC = 180°

∴ 15x - 4 + 5x - 8 = 180

∴ 20x - 12 = 180

∴ 20x = 180 + 12

∴ 20x = 192

∴ x = 192/20 = 9.6

∴ m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

∴ m∠DBC = 180 - 140 = 40° ( 5(9.6) - 8 = 48 - 8 = 40°)

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