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Question 779977: ok, im really confused on this. I have a straight line, ETR, with a ray coming straight up out of the point T, called ray TS. ETS equals 120-3x and STR equals 60+3x. Is angle STR a right angle? If so, please explain to me why/how. Thanks!
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! The ANGLE ETR is 180 degrees. Definition of Straight Angle.
Angle ETS + Angle STR has measure of 180 degrees.
(120-3x)+(60+3x)=180
120+60-3x+3x=180
180+0=180
180=180
This is a true statement.
x is not restricted so it could be any real number. This tells nothing about angle STR. It can have any measure greater than 0 and less than 180 degrees. The question is not true and is not false; it is not determinable. (Is angle STR a right angle?)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! I have a straight line, ETR, with a ray coming straight up out of the point T, called ray TS. ETS equals 120-3x and STR equals 60+3x. Is angle STR a right angle?
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If STR is a right angle, so is ETS.
Then 120-3x = 60+3x
60 = 6x
x = 10
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So,STR is a right angle when x = 10.
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Cheers,
Stan H.
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