SOLUTION: The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60 degrees greater than

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Question 101972This question is from textbook Beginning Algebra
: The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60 degrees greater than each of A and B. What are the measures of the three angles? This question is from textbook Beginning Algebra

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The sum is 180 degrees
sum=A%2BB%2BC
given:
A+=+B
C%3EA and C%3EB and difference between them is 60+degrees}
so we can write:
A+%2B+B+%2B+C+=+180
since A=B, it will be
2A+%2B+C+=+180
since C is 60 degres greater then A we can write
2A+%2B+%28A+%2B+60%29+=+180
+3A=+120
A+=+40
=>+B+=+40
=>+C+=+100