document.write( "Question 830235: Quadrilateral MATH is a kite. Find the measure of angle A , at the top of the kite it says M = 135* and the T at the bottom says 53* \n" ); document.write( "

Algebra.Com's Answer #500594 by AnlytcPhil(1806) $\"\"$ $\"About$

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document.write( "given: kite MATH, m∠M=135°, m∠T=53°\r\n" );
document.write( "to find: m∠MAT  (same as ∠M before we drew the green diagonal below) \r\n" );
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document.write( "m(MA) = m(MH)\r\n" );
document.write( "ΔMAH is isosceles\r\n" );
document.write( "m∠MAH = m∠MHA\r\n" );
document.write( "m∠M+m∠MAH+m∠MHA = 180°\r\n" );
document.write( "m∠M = 135°\r\n" );
document.write( "135°+m∠MAH+m∠MHA = 180°\r\n" );
document.write( "m∠MAH+m∠MHA = 180°-135°\r\n" );
document.write( "m∠MAH+m∠MAH = 45°\r\n" );
document.write( "2m∠MAH = 45°\r\n" );
document.write( " m∠MHA = 22.5°\r\n" );
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document.write( "--------------\r\n" );
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document.write( "m(TA) = m(TH)\r\n" );
document.write( "ΔTA is isosceles\r\n" );
document.write( "m∠TAH = m∠THA\r\n" );
document.write( "m∠T+m∠TAH+m∠THA = 180°\r\n" );
document.write( "m∠T = 53°\r\n" );
document.write( "53°+m∠TAH+m∠THA = 180°\r\n" );
document.write( "m∠TAH+m∠THA = 180°-53°\r\n" );
document.write( "m∠TAH+m∠TAH = 127°\r\n" );
document.write( "2m∠TAH = 127°\r\n" );
document.write( " m∠TAH = 63.5°\r\n" );
document.write( "----------------------------\r\n" );
document.write( "∠MAT = m∠MAH+m∠TAH = 22.5°+63.5° = 86°\r\n" );
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document.write( "Edwin

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