Find the measure of the largest angle

Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the largest angle in the triangle. 

x = measure of one angle
x = measure of other angle   {two angles are equal}
x + 3 = measure of the third angle   {third is 3° greater than each of the other two} 

x + x + x + 3 = 180°   {angles of a triangle add up to 180}
3x + 3 = 180   {combined like terms}
3x = 177   {subtracted 3 from each side}
x = 59   {divided each side by 3}
x + 3 = 62   {substituted 59, in for x, into x + 3} 

62° is the measure of the larger angle

- Algebra House