∠ RQS and ∠ TQS are a linear pair where m∠ RQS = 2x + 4 and m∠ TQS = 6x + 20 1. Solve for x.2. Find m∠ RQS and m∠ TQS3. Show how you can check your answerI want help to understand how to solve the problem because I have others to solve also.,
Question
Answer:
Since the given angles are a linear pair, that means that they add up to 180 degrees (straight line). So we know that:m∠ RQS + m∠ TQS = 180
Now let's answer the questions.
1. Solve for x
m∠ RQS + m∠ TQS = 180
2x + 4 + 6x + 20 = 180
2x + 6x + 4 + 20 = 180
(2 + 6)x + 24 = 180
8x + 24 = 180
8x = 156
x = 19.5
2. Find m∠ RQS and m∠ TQS
m∠ RQS = 2x + 4
m∠ RQS = 2*19.5 + 4
m∠ RQS = 39 + 4
m∠ RQS = 43
m∠ TQS = 6x + 20
m∠ TQS = 6*19.5 + 20
m∠ TQS = 117 + 20
m∠ TQS = 137
3. Show how you can check your answer.Verify that they do add up to 180.
So 43 + 137 = 180
This demonstrates that they do make up a linear pair.
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11 months ago
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