document.write( "Question 1064967: If cos x = sin (20 + x ) degrees and 0 degrees < x < 90 degrees , the value of x is ___ degrees \n" ); document.write( "

Algebra.Com's Answer #680092 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "If cos x = sin (20 + x ) degrees and 0 degrees < x < 90 degrees , the value of x is ___ degrees
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cos x = sin (20 + x)
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document.write( "sin and cos are CO-FUNCTIONS, which means that: cos x = cos [90 - (20 + x)]
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document.write( "cos x = cos (90 - 20 - x)
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document.write( "cos x = cos (70 - x)
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document.write( "Therefore, x = 70 - x
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document.write( "x + x = 70
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document.write( "2x = 70
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