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Irina-Kira [14]
2 years ago
13

BD bisects ∠ABC, m∠ABD=(7x−1)°, and m∠DBC=(4x+8)°. Find m∠ABD.

Mathematics
1 answer:
Naya [18.7K]2 years ago
4 0

Answer:

  m∠ABD = 20°

Step-by-step explanation:

The bisector makes angles ABD and BDC congruent, so ...

  7x -1 = 4x +8

  3x = 9 . . . . . . add 1-4x to both sides

  x = 3

  m∠ABD = (7x-1)° = (7·3 -1)°

  m∠ABD = 20°

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