Question 326007
To solve this problem, you are going to have to write two equations using what you know. 
First, you know that you have two supplementary angles. This means that together the angles add up to 180 degrees. So:
A + B = 180 (where A = measure of the larger angle, B = measure of the smaller angle)
Second, you now that twice the larger angle (A) is ten less than three times the smaller angle (B):
2A = 3B - 10
This can be rewritten as:
A = (3/2)B - 5 (I divided each side by 2)
Now you can plug in the second equation into the first and solve for B:
A + B = 180
((3/2)B - 5) + B = 180
(5/2)B - 5 = 180
(5/2)B = 185
B = 74
Finally, plug this value into the first equation to find A:
A + B = 180
A + 74 = 180
A = 106
So angle A is 106 degrees and angle B is 74 degrees.