Question

enter the correct answer.
if ( mangle acb = 180^circ ), and ( mangle acd = 55^circ ) then ( mangle dcb=) ?

Explanation:

Step1: Use the linear - pair angle relationship

Since \(\angle ACB = 180^{\circ}\) (a straight - line angle), and \(\angle ACB=\angle ACD+\angle DCB\).

Step2: Solve for \(\angle DCB\)

We know that \(\angle ACD = 55^{\circ}\), and from \(\angle ACB=\angle ACD+\angle DCB\), we can rewrite it as \(\angle DCB=\angle ACB - \angle ACD\).
Substitute \(\angle ACB = 180^{\circ}\) and \(\angle ACD = 55^{\circ}\) into the formula: \(\angle DCB=180^{\circ}- 55^{\circ}\).

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Answer:

\(125\)