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*