document.write( "Question 79201: First off, we are asked to find the value of x. Then, we are given a triangle. One angle measures 133 degrees. Another is (x+20)degrees. Another is 2x degrees. How do we solve these types of problems? We have 6 different ones. Thanks. \n" ); document.write( "
Algebra.Com's Answer #56851 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! On problems involving triangles and unknown angles, you can use the well-known fact that the sum of the angles in any plane triangle is always 180 degrees. \n" ); document.write( "So, set up the equation to add the given angles: \n" ); document.write( "133 + (x+20) + (2x) = 180 Combine like-terms. \n" ); document.write( "133 + 3x + 20 = 180 Simplify. \n" ); document.write( "153 + 3x = 180 Subtract 153 from both sides. \n" ); document.write( "3x = 27 Finally, divide both sides by 3. \n" ); document.write( "x = 9 degrees. \n" ); document.write( " |