Respuesta :

Space

Answer:

D. 112°

General Formulas and Concepts:

A line is always 180°.

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Set up equation

m∠ABD + m∠DBC = m∠ABC

(3x + 10) + (2x) = 180°

Step 2: Solve for x

  1. Combine like terms:                    5x + 10 = 180
  2. Subtract 10 on both sides:          5x = 170
  3. Divide 5 on both sides:               x = 34

Step 3: Find m∠ABD

m∠ABD = 3x + 10

  1. Substitute:               m∠ABD = 3(34) + 10
  2. Multiply:                   m∠ABD = 102 + 10
  3. Add:                         m∠ABD = 112°
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