Question

Use the diagram and information below to choose the correct equation to solve for x.

m< ABD = x + 67

m<DBC= x + 51

m<ABC = 104

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Responses

x + 67 + 104 = x + 51
x + 67 + 104 = x + 51

x + 67 = 104 + x + 51
x + 67 = 104 + x + 51

x + 67 + x + 51 = 104
x + 67 + x + 51 = 104

x + 51 + 104 + x + 51 = 180 give direct answer

Answer 1

The correct equation is
x + 67 + x + 51 = 104.

Solve: 2x + 118 = 104 → 2x = -14 → x = -7.

Then m∠ABD = 60° and m∠DBC = 44°, and they sum to 104°.