Two angles form a linear pair.
so, the sum of the angles are 180
the measure of the angles are z and (2.4 * z + 10)
so,
z + (2.4 * z + 10) = 180
solve for z
so,
z + 2.4 * z + 10 = 180
3.4 z = 180 - 10
3.4 * z = 170
divide both sides by 3.4
so, z = 170/3.4 = 50
so, the angles are 50 and 130
