SOLUTION: If the measure of angle RQT=155 degrees what is the measure of angle TQS R________Q\______/T that is the best way I can draw it the forward slash by Q shows the way tha

SOLUTION: If the measure of angle RQT=155 degrees what is the measure of angle TQS R__Q\/T that is the best way I can draw it the forward slash by Q shows the way tha

Question 1036061: If the measure of angle RQT=155 degrees what is the measure of angle TQS
R________Q\______/T that is the best way I can draw it the forward slash by Q shows the way that ray QS is going the back slash is the way that QT is going in between RQS is the equation 4x-20 and in between TQS is the equation 3x+14 i've been trying to help my daughter but i can't figure it out
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the measure of angle RQT=155 degrees what is the measure of angle TQS
R________Q\______/T that is the best way I can draw it the forward slash by Q shows the way that ray QS is going the back slash is the way that QT is going in between RQS is the equation 4x-20 and in between TQS is the equation 3x+14 i've been trying to help my daughter but i can't figure it out
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angleRQT = angleRQS + angleTQS
155 = 4x-20 + 3x+14
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7x - 6 = 155
7x = 161
x = 23
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angleRQS = 4x-20 = 4*23-20 = 92-20 = 72 degrees
angleTQS = 3x+14 = 3*23+14 = 69+14 = 83 degrees
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Cheers,
Stan H.
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