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Travka [436]
3 years ago
8

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angle

s is 140°. Determine the measure of each angle in degrees.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

<u><em>x = measure of one angle </em></u>

<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other} </em></u>

<u><em> x + 5x - 13 = 140 {sum of the two angles is 140} </em></u>

<u><em>6x - 13 = 140 {combined like terms} </em></u>

<u><em> 6x = 153 {added 13 to each side} </em></u>

<u><em>x = 25.5 {divided each side by 6} </em></u>

<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>

<u><em /></u>

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