document.write( "Question 1192518: △ABC lies in the structural support system of the Ferris wheel.\r
\n" ); document.write( "\n" ); document.write( "If m∠A = 30° and AB = AC = 25 ft,
\n" ); document.write( " find the measures (in degrees) of ∠B and ∠C.\r
\n" ); document.write( "\n" ); document.write( " BASE ANGLE (Angle B) + VERTEX ANGLE (ANGLE A)+ SECOND BASE ANGLE (Angle C) = 180 and the fact that we again have an isosceles triangle, making Angle B and Angle C the same measure. \n" ); document.write( "

Algebra.Com's Answer #824390 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "In this problem,\r\n" );
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document.write( "    A + B + C = 180  degrees,\r\n" );
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document.write( "    B = C\r\n" );
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document.write( "    A = 30 degrees.\r\n" );
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document.write( "Therefore\r\n" );
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document.write( "   30 + 2B = 180\r\n" );
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document.write( "        2B = 180 - 30\r\n" );
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document.write( "        2B =    150\r\n" );
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document.write( "         B =    150/2 = 75.\r\n" );
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document.write( "ANSWER.  B = C = 75 degrees.   Angles B and C are congruent and each of them has the measure of 75 degrees.\r\n" );
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