document.write( "Question 1014241: what is the measure of angle r if triangle abc and triangle qrs are similar to each other in triangle abc angle a is the bottom left angle and is marked as 30 degrees angle b is the top angle and is not marked angle c is the bottom right angle and is marked as 70 degreess in triangle qrs angle q is the bottom left angle and is marked as 30 degrees angle r is the top angle and is not marked angle s is the bottom right angle and is marked as 70 degrees what is the measure of angle r \n" ); document.write( "

Algebra.Com's Answer #630584 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "What is the measure of angle r if triangle abc and triangle qrs are similar to each other.
\n" ); document.write( "In triangle abc angle a is the bottom left angle and is marked as 30 degrees; angle b is the top angle and is not marked;
\n" ); document.write( "angle c is the bottom right angle and is marked as 70 degrees.
\n" ); document.write( "In triangle qrs angle q is the bottom left angle and is marked as 30 degrees; angle r is the top angle and is not marked;
\n" ); document.write( "angle s is the bottom right angle and is marked as 70 degrees what is the measure of angle r
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document.write( "1.  In triangle ABC LA = 30°;  LC = 70°. \r\n" );
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document.write( "    Hence, LB = 180° - (30° + 70°) = 80°.\r\n" );
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document.write( "2.  In triangle QRS LQ = 30°;  LS = 70°. \r\n" );
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document.write( "    Hence, LR = 180° - (30° + 70°) = 80°.\r\n" );
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document.write( "    Thus we got the answer.\r\n" );
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document.write( "Notice that the rest of information is not relevant to the solution:\r\n" );
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document.write( "    The info regarding placement/location of the angles is irrelevant.\r\n" );
document.write( "    Even the info about similarity of triangles is irrelevant.\r\n" );
document.write( "    We didn't use it in the solution.\r\n" );
document.write( "    The only thing we used in the solution (except of given data about the measures of the angles) was the fact \r\n" );
document.write( "    that the sum of angles of a triangle is equal to 180°.\r\n" );
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