Chapter 2: Q4. (page 60)

Write something you can conclude from the given information.
Given: $\bar{F B} ⊥ \bar{A D}$ ; $\vec{B E}$ bisects $∠ F B C$

Short Answer

Expert verified

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

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 $∠ F B C$ 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 $∠ F B C$ .

$∠ 1 + ∠ 2 = 90 °$

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 $∠ F B C$ .

$∠ 1 - ∠ 2 = 45 °$

Step 4. Make the conclusion.

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

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Write something you can conclude from the given information.
Given: $\bar{F B} ⊥ \bar{A D}$ ; $\vec{B E}$ bisects $∠ F B C$

Short Answer

Step by step solution

Step 1. Definition of perpendicular lines.

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

Step 3. Use the definition of angle bisection.

Step 4. Make the conclusion.

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Write something you can conclude from the given information.Given: FB¯⊥AD¯; BE→bisects∠FBC

Short Answer

Step by step solution

Step 1. Definition of perpendicular lines.

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

Step 3. Use the definition of angle bisection.

Step 4. Make the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Study anywhere. Anytime. Across all devices.

Write something you can conclude from the given information.
Given: $\bar{F B} ⊥ \bar{A D}$ ; $\vec{B E}$ bisects $∠ F B C$