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in triangle ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. What are the measures of the angles?

 Sep 9, 2015
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The three interior angles of any triangle sum to 180 degrees...so we have....

 

[2x + 3 ]+ [4x + 2] + [2x - 1] = 180  simplify

 

8x + 4  = 180     subtract 4 from both sides

 

8x = 176     divide both sides by 8

 

x = 22

 

[ 2(22) + 3 ] =  47  degrees = A

 

[4(22) + 2 ] = 90   degrees = B

 

[2(22) - 1]   = 43 degrees  = C

 

 

 

cool cool cool

 Sep 9, 2015

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