document.write( "Question 160526This question is from textbook
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document.write( ": Instructions: Define a variable, write an equation and solve the problem.\r
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document.write( "One of the congruent angles of an isosceles triangle measures 37 degrees. Find the measures of the other angles. \n" );
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Algebra.Com's Answer #118381 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the measure if the missing angle be A (This is the required variable) \n" ); document.write( "You know that the sum of the angles in any triangle is 180 degrees. \n" ); document.write( "You also know that the base angles of an isosceles triangle are congruent, so that the measure of two base angles would be 37 degrees each. \n" ); document.write( "To find the vertex (third) angle (A), subtract the sum of the base angles (37+37) from 180. You can write the equation: \n" ); document.write( "A = 180 - 2(37) This is the required equation. Simplify this. \n" ); document.write( "A = 180 - 74 \n" ); document.write( "A = 106 degrees. \n" ); document.write( "So the measures of the three angles are: \n" ); document.write( "37 degrees \n" ); document.write( "37 degrees \n" ); document.write( "106 degrees. \n" ); document.write( "And, of course, their sum is 180 degrees. \n" ); document.write( " \n" ); document.write( " |