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Can somone help me solve this? I am lost. Thanks!

 

 Sep 25, 2020
 #1
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The sum of the measures of all the arcs in a circle is  360°

 

So... looking at the circle in problem #9....we can make the following equation:

 

61°   +   (5x - 7)°   +   34°   +   (9x - 22)°   =   360°

                                                                                Remove the degree sign from every term.

61   +   5x - 7   +   34   +   9x - 22   =   360

                                                                                Combine like terms.

14x   +  66   =  360

                                   Subtract  66  from both sides of the equation.

14x   =   294

                                   Divide both sides of the equation by  14

x   =   21

 

Now that we know what  x  is, we can find the measures of all the arcs.

 

mGK=(9x22)=(9(21)22)=167 mHJ=(5x7)=(5(21)7)=98 mHGJ=mHG+mGK+mKJ=61+167+34=262 mGKJ=mGK+mKJ=167+34=201

 Sep 25, 2020

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