document.write( "Question 1177329: If m∠ABC = 85, m∠ABD = x + 30,
\n" ); document.write( "and m∠CBD = 2x + 10, what is m∠CBD? m∠ABD? \n" ); document.write( "

Algebra.Com's Answer #806273 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " If $\"m\"$ ∠ $\"ABC+=+85\"$ , $\"m\"$ ∠ $\"ABD+=+x+%2B+30\"$ , and $\"m\"$ ∠ $\"CBD+=+2x+%2B+10\"$ , then we have\r
\n" ); document.write( "\n" ); document.write( " $\"85%2Bx+%2B+30%2B2x+%2B+10=180\"$ ........solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x+%2B+125=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x+=180-125\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x+=55\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=55%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "then\r
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\n" ); document.write( "\n" ); document.write( " $\"m\"$ ∠ $\"ABD+=+55%2F3+%2B+30\"$
\n" ); document.write( " $\"m\"$ ∠ $\"ABD+=+145%2F3\"$
\n" ); document.write( " $\"m\"$ ∠ $\"ABD+=+48.33\"$ \r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ ∠ $\"CBD+=+2%2855%2F3+%29+%2B+10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ ∠ $\"CBD+=+140%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ ∠ $\"CBD+=+46.67\"$ \r
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\n" ); document.write( "\n" ); document.write( "check the sum:\r
\n" ); document.write( "\n" ); document.write( " $\"85%2B48.33%2B46.67=180\"$
\n" ); document.write( " $\"180=180\"$ \r
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