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08-09-2020
Mathematics

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

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mhanifa mhanifa

08-09-2020

Answer:

56°

Step-by-step 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°

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