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Question 1035642: If the measure of angle RQT=155 degrees what is the measure of angle RQS I tried to draw the diagram but i can't so, i will try to explain it the picture shows a segment of R to Q it then shows segment Q to T as a slightly upward angle it the shows a segment from Q to S as a, upward angle in between angle RQS is 4x-20 it then shows 3x+14 in between SQT
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 RQS I tried to draw the diagram but i can't so, i will try to explain it the picture shows a segment of R to Q it then shows segment Q to T as a slightly upward angle it the shows a segment from Q to S as a, upward angle in between angle RQS is 4x-20 it then shows 3x+14 in between SQT
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RQT = RQS + SQT
155 = 4x-20 + 3x+14
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155 = 7x - 6
7x = 161
x = 27
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RQS = 4x-20 = 4*27-20 = 88 degrees
SQT = 3x+14 = 3*27+14 = 95 degrees
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Cheers,
Stan H.
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