Question

what is the measure of ∠dcf? the measure of ∠dcf is degrees.

Explanation:

Step1: Identify angle sum

Angles at a point on a straight line sum to \(180^\circ\). So, \(\angle DCF=\angle DCE + \angle ECF\).

Step2: Substitute values

Given \(\angle DCE = 75^\circ\) and \(\angle ECF = 54^\circ\), then \(\angle DCF=75^\circ + 54^\circ\).

Step3: Calculate sum

\(75 + 54 = 129\).

Answer:

\(129\)