document.write( "Question 1124988: The sum of the measures of the three angles of a triangle is equal to 180 degrees. In a given triangle, the second angle measures 20 degrees more than the first and the third, 35 degrees more than the second. What is the measure of each of these angles? \n" ); document.write( "
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\n" ); document.write( "The sum of the measures of the three angles of a triangle is equal to 180 degrees. In a given triangle, the second angle measures 20 degrees more than the first and the third, 35 degrees more than the second. What is the measure of each of these angles?
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Let the measure of the first angle be F
\n" ); document.write( "Then the second angle = F + 20
\n" ); document.write( "And, the third = F + 20 + 35 = F + 55
\n" ); document.write( "We then get: F + F + 20 + F + 55 = 180
\n" ); document.write( "3F + 75 = 180
\n" ); document.write( "3F = 105
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