s492847 s492847

01-10-2020
Mathematics

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

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sqdancefan sqdancefan

01-10-2020

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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