First let l equal the largest angle, m equal the medium angle and s equal the smallest angle. Then we change the worded question into a mathematical equation. The small angle is 1/3 of the large angle, this means that s=l/3. The medium angle is the large angle minus 65, this means m=l-65. We now have enough information to solve this question. Since all three angles in a triangle equal 180, we get
180=l+m+s. By substituting in the different value for m and s, we get
180=l+l-65+l/3. We now group like terms to get
180=2l-65+l/3. Then we add 65 to both sides, so
245=2l+l/3. Next we multiply everything by 3, to get
345=6l+l. We group all like terms again,
735=7l. Finally, we divide both sides by 7, which leave us with
735/7=l
105=l. Therefore the largest angle is equal to 105^@.
The last steps are to find the other angles. Since m=l-65, we substitute 105 in to get
m=105-65
m=40^@.
We do the same with s=l/3 to get
s=105/3
s=35^@.
I hope I helped!
