Question

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

Answer 1

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°