Question

what is the measure of \\( \angle dcf \\)?
the measure of \\( \angle dcf \\) is \\( \square \\) degrees

Explanation:

Step1: Analyze the angle relationship

We know that \(\angle DCF=\angle DCE+\angle ECF\)

Step2: Substitute the given angle values

Given \(\angle DCE = 75^{\circ}\) and \(\angle ECF=54^{\circ}\)
So \(\angle DCF=75^{\circ}+54^{\circ}\)

Step3: Calculate the sum

\(75 + 54=129\)

Answer:

129