Answer:
Let the number be x.
Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.
Then, the angles be 4x , 5x and 6x respectively.
We know that: The sum of all the measures of angles is 180 degree.
then;

Combine like terms;

Divide by 15 both sides we get;

Then, the measure of each angle of triangle:



To solve for y you need to first multiply both sides by 4. This will give you: 4y - 4A / 3 = A + 3B
Next you need to multiply both sides by 3: 4y - 4A = 3A + 9B
Now you need to add 4A to both sides: 4y = 7A + 9B
Now divide both sides by 4:
Y = 7A/4 + 9B/4
1 pt; or 1 pint seems most reasonable here.