The measure of one angle is thirteen more than six times the measure of another angle. The sum of the measures of the two angles is 90°. Determine the measures of each angle in degrees.
x = measure of one angle
6x + 13 = measure of other angle {one angle is thirteen more than six times the other} x + 6x + 13 = 90 {the sum of the measures of the two angles is 90} 7x + 13 = 90 {combined like terms} 7x = 77 {subtracted 13 from each side} x = 11 {divided each side by 7} 6x + 13 = 79 {substituted 11, in for x, into 6x + 13} 11° and 79° are the two angles Ask the House
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