document.write( "Question 1160781: Hello, can you please show me how to work this problem? Thank you so much in advance. I am just starting Trigonometry class and I don't have a textbook just yet since it just started yesterday. Based on some problems that I have seen online I have learned that the sum of the measures of the angles of any triangle is 180 degrees. \r
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document.write( "Find the measure of each marked angle.\r
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document.write( "X degree=? degree\r
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document.write( "(X+50)degree =? degree\r
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document.write( "(180-3x)degree=? degree\r
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document.write( "(Simplify your answers. Type an integer or a fraction.) \n" );
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Algebra.Com's Answer #784179 by saw(34) ![]() You can put this solution on YOUR website! Solution. \n" ); document.write( "Since the condition given is x+(x+50)+(180-3x) = 180 \n" ); document.write( "x+(x+50)+(180-3x) = 180 \n" ); document.write( "Remove parentheses \n" ); document.write( "x+x+50+180-3x = 180 \n" ); document.write( "Collect the like terms \n" ); document.write( "-x+50+180 = 180 \n" ); document.write( "Add the numbers \n" ); document.write( "-x+230 = 180 \n" ); document.write( "Move constant to the right side of the equation and change its sign \n" ); document.write( "-x = 180-230 \n" ); document.write( "Calculate the difference \n" ); document.write( "-x = -50 \n" ); document.write( "Multiply both sides of the equation by -1 \n" ); document.write( "-x*(-1) = -50*(-1) \n" ); document.write( "Any expression multiplied by -1 equals its opposite \n" ); document.write( "x = -50*(-1) \n" ); document.write( "Any expression multiplied by -1 equals its opposite \n" ); document.write( "x = 50 \n" ); document.write( "x+50 \n" ); document.write( "Use substitution \n" ); document.write( "50+50 = 100 \n" ); document.write( "180-3x \n" ); document.write( "Use substitution \n" ); document.write( "180-(3*50) \n" ); document.write( "180-150 = 30 \n" ); document.write( "So the angels of the triangle is 50 degree, 100 degree, and 30 degree. \n" ); document.write( "Check----- \n" ); document.write( "x+(x+50)+(180-3x) = 180 \n" ); document.write( "Hope it's helpful for you!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |