Question

Write something you can conclude from the given information.

Given: $\overline{FB}\perp \overline{AD}$; $\overrightarrow{BE}$bisects$\angle FBC$

Short answer

The required conclusion is$\angle 1-\angle 2=45°$.

Step-by-step solution

Step 1. Definition of perpendicular lines.

The definition of perpendicular lines states that the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to 90°.

Step 2. Using the relation between the given lines and definition of perpendicular lines, make an equation.

The provided $\angle FBC$is having a measurement of 90° because it is a right angle also it is formed by the provided lines. So write the addition of angles that are present in $\angle FBC$.

$\angle 1+\angle 2=90°$

Step 3. Use the definition of angle bisection.

An angle becomes a mixture of two angles having the same measurement when a line travels through it.Using this make an equation for the $\angle FBC$.

$\angle 1-\angle 2=45°$

Step 4. Make the conclusion.

The obtained equation$\angle 1-\angle 2=45°$ is the required conclusion.