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in abc the measure of angle a is 2x+3, the measure of b is 4x+2, the measure of c is 2x-1. What are the measures of the angles?



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The measures of the angles in a triangle add up to 180°.
[tex]2x+3+4x+2+2x-1=180 \\ 8x+4=180 \ \ \ |-4 \\ 8x=176 \ \ \ |\div 8 \\ x=22 \\ \\ 2x+3=2 \times 22+3=44+3=47 \\ 4x+2=4 \times 22+2=88+2=90 \\ 2x-1=2 \times 22-1=44-1=43[/tex]

The measures of the angles are 43°, 47° and 90°.

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