2 answers
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To solve for x, we can use the fact that the angles in a triangle add up to 180 degrees.
Since ∠RST = 125° and ∠RSQ = 4x - 7, we can write the equation:
125 + (4x - 7) + (11x + 12) = 180
Combine like terms:
15x + 130 = 180
Subtract 130 from both sides:
15x = 50
Divide both sides by 15:
x = 50/15
Simplify:
x = 10/3
So, none of the given options (x = 5, x = 8, x = 6, x = 4) are correct. The correct answer is x = 10/3.