Answer :

Answer:

m∠ABD = 24°

m∠CBD = 24°

m∠ABC = 48°

Explanation:

m∠ABD: (3x + 6)°

m∠CBD: (7x - 18)°

  • m∠ABD and m∠CBD are equivalent since BD bisects them

(3x + 6)° = (7x - 18)°

x = 6

  • Plug in 6 for x in the equations

(3x + 6)° = 24

(7x - 18)° = 24

  • Add

24 + 24 = 48

m∠ABC = 48°

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