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icang [17]
3 years ago
4

If BD bisects angle ABC, m angle DBC = 79° , and m angle ABC = (9x - 4)° , find the value of x. ​

Mathematics
2 answers:
Vladimir [108]3 years ago
6 0
Since bd bisects the abc is equal to 2 time 79 so solve 2(79)=9x-4 so x is 18
AleksAgata [21]3 years ago
3 0

Answer:

x = 18

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC = 79°

∠ ABC = ∠ ABD + ∠ DBC , that is

9x - 4 = 79 + 79 = 158 ( add 4 to both sides )

9x = 162 ( divide both sides by 9 )

x = 18

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