To solve this problem, we need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees. Here, we are informed that Angle FEC is a right angle, which is equivalently 90 degrees.
Given that three segments intersect at point E and Angle FEC is a right angle, it suggests that two pairs of complementary angles will form at this intersection point E.
The first pair consists of Angle FEC and the angle created by segments CD and AB intersecting at point E. Here, Angle FEC and the angle formed by segments CD and AB are complementary because their sum is 90 degrees (a right angle).
The second pair consists of Angle FEC and the angle formed by segments FG and AB at point E. Similar to Pair 1, these two angles are also complementary because together they form a right angle.
In conclusion, we have identified two pairs of complementary angles. Pair 1 includes Angle FEC and the angle created by segments CD and AB at their intersection point E. Pair 2 consists of Angle FEC and the angle created by segments FG and AB at point E. The angles in each pair are complementary as they add up to 90 degrees (a right angle).