SOLUTION: WrIte an equatIon and solve. 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. De

Question 854579: WrIte an equatIon and solve.
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 measures of each of the angles. I am a parent of student who had slept thru his math class. He was sent home with a very large packet of uncompleted homework. I am at a loss. I don't have any idea where to start. I am hoping to get an answer that will teach me how to teach him. Thank you.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The description describes two angles of unknown measure. Assign each of them a separate variable. You can then translate the description into numeric symbolism.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
WrIte an equatIon and solve.
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 measures of each of the angles. I am a parent of student who had slept thru his math class. He was sent home with a very large packet of uncompleted homework. I am at a loss. I don't have any idea where to start. I am hoping to get an answer that will teach me how to teach him. Thank you.

Let smaller angle be S
Since "The measure of one angle (larger) is thirteen less than five times the measure of another angle," the
larger angle = 5S - 13
Since they SUM to , we can say that: (requested equation)
S + 5S = 140 + 13 ------ Adding 13 to both sides of equation (Step 1 to isolate the variable, S)
6S = 153 ------ Combining like-terms on either side of equation
S, or smaller angle = , or
Larger angle: 140 - 25.5, or
You can do the check!!
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