rfilespolkp3fwkt
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  • 25-01-2019
  • Mathematics
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The Three angles of a triangle have measures 7x+6,10x-8 and 5x+3.What is the measure of the smallest angle?

The Three angles of a triangle have measures 7x610x8 and 5x3What is the measure of the smallest angle class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 25-01-2019

Answer:

43 15/22 degrees

Step-by-step explanation:

The three angles add to 180 degrees

7x+6 +10x-8 + 5x+3 = 180

Combine like terms

22x +1 = 180

Subtract 1 from each side

22x +1-1 =180-1

22x = 179

Divide each side by 22

22x/22 = 179 /22

x =179/22


The smallest angle is

5x+3

5(179/22) +3

895/22 +3

40 15/22 +3

43 15/22 degrees


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