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The measures of the three angles of a triangle form an arithmetic sequence. What must be the measure, in degrees, of at least one of its angles?

 #1
avatar+101870 
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Let the three angles be    a1,  a1 + d  and  a1 + 2d

 

So....we have that

 

a1  +  (a1 + d)  +  (a1 + 2d)  =  180°

 

3a1  + 3d  =  180°          divide through by 3

 

(a1  +  d)   =  60°

 

So......one of the angles must be 60°

 

 

cool cool cool

 Jan 10, 2018
 #2
avatar+1438 
+1

Thank you so much!

AnonymousConfusedGuy  Jan 10, 2018

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