Question

identify the pair of complementary angles.
a ∠cef and ∠feg
b ∠ced and ∠ceg

Explanation:

Step1: Recall complementary angles

Complementary angles sum to \(90^\circ\). From the diagram, \(\angle CEG\) is a right angle (\(90^\circ\)), so \(\angle CEF + \angle FEG = \angle CEG = 90^\circ\).

Step2: Analyze Option A

For \(\angle CEF\) and \(\angle FEG\), their sum is \(90^\circ\) (since they form \(\angle CEG\), a right angle), so they are complementary.

Step3: Analyze Option B

\(\angle CED\) is a straight - line angle (probably \(180^\circ\) related) and \(\angle CEG\) is \(90^\circ\), their sum is not \(90^\circ\), so they are not complementary.

Answer:

A. \(\angle CEF\) and \(\angle FEG\)