Question

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140°. Determine the measure of each angle in degrees.

Answer 1

The two angles are 25.5 and 114.5

Explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}