Determine the measure of each angle in degrees

​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.

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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

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