SX¯¯¯¯¯¯¯¯
bisects <RST. m<RST = 10x. m<XST = 3x+16. Find m<RSX(2 points)
m<RSX = BLANK degrees (Type the number ONLY)
fill in the blank
To find m<RSX, we need to use the fact that SX bisects <RST, which means that m<SXR and m<SXS are equal.
We can set up the following equation:
10x = 3x + 16
Subtract 3x from both sides:
7x = 16
Divide both sides by 7:
x = 16/7
Now, we can plug in this value of x into the expression for m<RSX:
m<RSX = 3x + 16
m<RSX = 3(16/7) + 16
m<RSX = 48/7 + 16
m<RSX = (48 + 112)/7
m<RSX = 160/7
m<RSX ≈ 22.86 degrees
So, m<RSX is approximately 22.86 degrees.