document.write( "Question 1059353: In Parallelogram MAST , the measure of angle M is 30 more than the measure of angle A . Determine the measures of all four angles of parallelogram MAST \n" ); document.write( "

Algebra.Com's Answer #674406 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "M = A + 30,\r\n" );
document.write( "M + A = 180.\r\n" );
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document.write( "substitute:  (A+30) + A = 180  ===>  2A + 30 = 180  ===>  2A = 180 - 30  ===>  2A = 150  ===>  A = 75.\r\n" );
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document.write( "The angles are M = 105, A = 75, S = 105,  and T = 75  degrees.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For more similar solved problems see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on supplementary and complementary angles\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on angles of a triangle\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on angles of a parallelogram\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on angles of a quadrilateral\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on angles of a polygon\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on missed angle of a polygon\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on angles of a regular polygon\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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