help please asap!! will mark brainliest!!!!! its timed
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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°)