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SQ bisects <RST. m <QST=2x + 18 and m <RST=6x - 2. What is m < RSQ?​

SQ bisects <RST. m <QST=2x + 18 and m <RST=6x - 2. What is m < RSQ?​
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2 votes
SQ bisects <RST. m <QST=2x + 18 and m <RST=6x - 2. What is m < RSQ?​

asked
User Durbnpoisn
by
7.3k points

1 Answer

4 votes

Answer:

56°

Explanation:

Since SQ bisects ∠RST, we have:

  • m∠RST = 2* m∠ QST = 2* m∠RSQ

Therefore:

  • 6x - 2 = 2*(2x + 18)
  • 6x - 2 = 4x + 36
  • 2x = 38
  • x = 19°

Then

  • m ∠RSQ = 2*19 + 18 = 56°
answered
User Mohammed
by
9.3k points
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