Question 1113623
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The sum of the measures of the angles is 180 degrees. In triangle ABC, angles A and B have the same measure, 
while the measure of angle C is 60 degrees larger than each of A and B. What are the measures of the three angles
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<pre>
Let x = measure of angle A in degrees (the same as that of B, according to the condition).

Then the measure of the angle C is (x+60) degrees.


The sum of interior angles of a triangle is 180 degrees, which gives you an equation

x + x + (x + 60) = 180 degrees

3x + 60 = 180

3x = 180-60 = 120  ====>  x = {{{120/3}}} = 40.


<U>Answer</U>.  Measure of angles  A  and  B  is 40 degrees.  Measure of angle C is  40+60 = 100 degrees.
</pre>

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Solved.


<U>Be aware</U>:  &nbsp;&nbsp;the solution by &nbsp;@josgarithmetic giving the answer  &nbsp;"Angle A and B each is 30 degrees and angle C is 120 degrees"&nbsp;  &nbsp;is &nbsp;<U>W R O N G</U>.