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Chapter 2: Q4. (page 60)

Write something you can conclude from the given information.

Given: FB炉鈯�AD炉; BE鈫�bisects鈭�FBC

Short Answer

Expert verified

The required conclusion is鈭�1鈭�鈭�2=45掳.

Step by step solution

01

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掳.

02

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

The provided 鈭�FBCis having a measurement of 90掳 because it is a right angle also it is formed by the provided lines. So write the addition of angles that are present in 鈭�FBC.

鈭�1+鈭�2=90掳

03

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 鈭�FBC.

鈭�1鈭�鈭�2=45掳

04

Step 4. Make the conclusion.

The obtained equation鈭�1鈭�鈭�2=45掳 is the required conclusion.

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Most popular questions from this chapter

Justify each statement with a property from algebra or property of congruence.

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