Question

line segments ab, cd, and fg intersect at point e. complete the statements. ∠feb and ∠bef are ∠feb and ∠fea are ∠feb and ∠deb are

Explanation:

Step1: Identify same - angle

$\angle FEB$ and $\angle BEF$ are the same angle, so they are equal.

Step2: Identify linear - pair

$\angle FEB$ and $\angle FEA$ form a linear - pair. A linear - pair of angles are supplementary, meaning their sum is $180^{\circ}$.

Step3: Identify vertical - angles

$\angle FEB$ and $\angle DEB$ are vertical - angles. Vertical angles are equal.

Answer:

$\angle FEB$ and $\angle BEF$ are equal; $\angle FEB$ and $\angle FEA$ are supplementary; $\angle FEB$ and $\angle DEB$ are vertical angles.