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 degrees. Determine the measure of each angle in degrees

Question

Mathematics

Fernando Holt

5 March, 14:58

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 degrees. Determine the measure of each angle in degrees

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Ellie Kent · Answer 1

x = measure of one angle

5x - 13 = measure of 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}

The two angles are 25.5° and 114.5°