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Question 1035997: can someone please help me I don't understand it if the measure of angle RQT is a straight angle what is the measure of angle RQS i"ll try to draw as much as I can, T________Q________R it then shows a ray going from going up at an angle it then shows the equation 6x+20 sitting on TQ it then shows the equation 2x+14 sitting between RQS someone wrote me the answer of 88 degrees but the acellus site says it's wrong
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if i understand this correctly, your two angles are:
angle TQS = 6x + 20
angle SQR = 2x + 14
these angles are supplementary, therefore the sum of their measures is 180 degrees.
you get 6x + 20 + 2x + 14 = 180
combine like terms to get 8x + 34 = 180
subtract 34 from both sides of this equation to get 8x = 146
divide both sides of this equation by 8 to get x = 18.25
x = 18.25
6x + 20 = 129.5
2x + 14 = 50.5
the sum of the angles is 129.5 +50.5 = 180
the solution looks good.
angle TQS is equal to 129.5 degrees.
angle SQR is equal to 50.5 degrees.
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