To find the measure of angle RSX, we can use the fact that SX bisects angle RST.
By the Angle Bisector Theorem, we know that the measure of angle RSX is given by:
m<RSX = (m<RST)/(m<RST + m<XST) * m<XST
Plugging in the given values, we have:
m<RSX = (10x)/(10x + 3x + 16) * (3x + 16)
Simplifying this expression, we have:
m<RSX = (10x)/(13x + 16) * (3x + 16)
Multiplying the terms, we have:
m<RSX = (30x^2 + 160x)/(13x + 16)
Therefore, the measure of angle RSX is:
m<RSX = 30x^2 + 160x / 13x + 16
SX bisects <RST.
m<RST = 10x. m<XST = 3x+16. Find m<RSX(2 points)
m<RSX = degrees (Type the number ONLY)
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