document.write( "Question 12551: Angle ABC and angle DEB are vertical angles. Angle ABC = (4x + 50) degrees, and angle DEB = (2x + 60) degrees. Find x. \n" ); document.write( "
Algebra.Com's Answer #6425 by AdolphousC(70)\"\" \"About 
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Vertical Angles are always equal, so set the two expressions equal and solve.
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\n" ); document.write( "4x + 50 = 2x + 60 Subtract 2X from both sides
\n" ); document.write( "2x + 50 = 60 Subtract 50 from both sides
\n" ); document.write( "2x = 10 Divde both sides by 2
\n" ); document.write( "x = 5.
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\n" ); document.write( "Check
\n" ); document.write( "4x + 50 = 4(5) + 50 = 20 + 50 = 70
\n" ); document.write( "2x + 60 = 2(5) + 60 = 10 + 60 = 70
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\n" ); document.write( "Since we checked them and both angles are equal, we know x = 5 \n" ); document.write( "

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