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Chapter 2: Q1. (page 60)

Write something you can conclude from the given information.

Given: m∠1=m∠4; m∠2=m∠3

Short Answer

Expert verified

The obtained conclusion ism∠CBF=m∠BCG.

Step by step solution

01

Step 1. Write the actual angle of the numbered angles

Write the provided numbered angles in the alphabet.

m∠1=∠FBE;

m∠2=∠EBC;

m∠3=∠BCF;

m∠4=∠FCG

02

Step 2. Determine the angles that consist of the provided angles.

The ∠CBFis the addition of the angles ∠EBFand ∠FBEalong with this∠BCG consists of angles∠BCF and ∠FCG. By using this information make two equations.

∠CBF=∠EBC+∠FBE

∠BCG=∠BCF+∠FCG

03

Step 3. Make the conclusion.

According to the obtained equations and the given equations, the addition of m∠1and m∠2is the same as the addition of m∠3and m∠4. So write an equation by using this information but write the angles in the alphabet,

m∠CBF=m∠BCG

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