Answer:
A straight line is equivalent to 180 degrees with that in mind,
(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15
Now to find the measurement of the larger angle,
9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.