Question

find the measure of angle fcd.

Explanation:

Step1: Recall linear - angle property

The sum of angles on a straight - line is 180°. Angle $\angle ECF$ and $\angle FCD$ form a linear pair, so $\angle ECF+\angle FCD = 180^{\circ}$.

Step2: Solve for $\angle FCD$

Given $\angle ECF = 68^{\circ}$, then $\angle FCD=180^{\circ}-\angle ECF$. Substitute $\angle ECF = 68^{\circ}$ into the formula: $\angle FCD = 180 - 68=112^{\circ}$.

Answer:

$112^{\circ}$