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22-09-2020
Mathematics

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Ray BD bisects ∠ABC so that m∠DBC = (x + 6) and m∠ABD = (2x – 12). What is x? A. 12 B. 14 C. 16 D. 18

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mhanifa mhanifa

22-09-2020

Answer:

D. 18

Step-by-step explanation:

Ray BD bisects ∠ABC,

and 2 equal angles formed:

∠ABD = ∠DBC

Substituting values:

x + 6 = 2x - 12
2x - x = 6 +12
x = 18

Correct option is D. 18

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