SOLUTION: ∠ RQS and ∠ TQS are vertical angles where m∠ RQS = 3(x + 7) and m∠ TQS = 4x + 15.
Solve for x.
Find m∠ RQS and m∠ TQS
Show how you can
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Question 788896: ∠ RQS and ∠ TQS are vertical angles where m∠ RQS = 3(x + 7) and m∠ TQS = 4x + 15.
Solve for x.
Find m∠ RQS and m∠ TQS
Show how you can check your answer.
Thank you for helping me! \(^-^)/
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
∠ RQS and ∠ TQS are vertical angles
so that means they are congruent (since vertical angles are congruent)
so set them equal, plug in the given expressions, then solve for x
m ∠ RQS = m ∠ TQS
3(x + 7) = 4x + 15
3x+21 = 4x+15
3x = 4x+15-21
3x-4x = 15-21
-x = 15-21
-x = -6
x = (-6)/(-1)
x = 6
-------------------------------------------------------
Since x = 6, we know that
m ∠ RQS = 3(x + 7)
m ∠ RQS = 3(6 + 7)
m ∠ RQS = 3(13)
m ∠ RQS = 39 degrees
Angle TQS is also 39 degrees (since the two angles are congruent vertical angles). I'll let you determine angle TQS (plug x = 6 into the second equation and evaluate).
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