document.write( "Question 556812: ANGLE ABE AND ANGLE CBD ARE VERTICAL ANGLES AND BOTH ARE COMPLEMENTARY WITH ANGLE FGH, IF m ANGLE ABE = (3x-1) AND m ANGLE FGH = (4x), what is m ANGLE CBD?\r
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Algebra.Com's Answer #362247 by Theo(13342)\"\" \"About 
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if angle ABE and CBD are vertical angles, then their measure are equal.
\n" ); document.write( "if angle ABE is equal to (3x-1) and angle FGH = (4x), then angle CBD must also be equal to (3x-1).
\n" ); document.write( "to find the value of x, we use the equation of angle ABE + angle FGH = 90 degrees because they are complementary.
\n" ); document.write( "since ABE = 3x-1 and FGH = 4x, this means that:
\n" ); document.write( "3x-1 + 4x = 90
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "7x-1 = 90
\n" ); document.write( "add 1 to both sides of the equation to get:
\n" ); document.write( "7x = 89
\n" ); document.write( "divide both sides of the equation by 7 to get:
\n" ); document.write( "x = 89/7
\n" ); document.write( "angle FGH is equal to 4x which makes it equal to 356/7
\n" ); document.write( "angle ABE is equal to 3x-1 which makes it equal to 274/7
\n" ); document.write( "add them together to get 630/7
\n" ); document.write( "divide that by 7 to get 90.
\n" ); document.write( "the number check out.
\n" ); document.write( "angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees.
\n" ); document.write( "angle CBD is equal to angle ABE and so is equal to the same.\r
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