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Chapter 2: Q1. (page 60)

Write something you can conclude from the given information.

Given: m鈭�1=m鈭�4; m鈭�2=m鈭�3

Short Answer

Expert verified

The obtained conclusion ism鈭�CBF=m鈭�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鈭�1=鈭�FBE;

m鈭�2=鈭�EBC;

m鈭�3=鈭�BCF;

m鈭�4=鈭�FCG

02

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

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

鈭�CBF=鈭�EBC+鈭�FBE

鈭�BCG=鈭�BCF+鈭�FCG

03

Step 3. Make the conclusion.

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

m鈭�CBF=m鈭�BCG

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