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 Comments are closed.

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