document.write( "Question 1169582: Quadrilateral MATH is inscribed in circle S. Arc MA measures 76 degrees and Arc HT measures 69 degrees.
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document.write( "What is major arc HAT?
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document.write( "a. 34.5degrees
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document.write( "b. 69 degrees
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document.write( "c. 76 degrees
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document.write( "d. 138 degrees\r
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document.write( "I can't really understand how it is solved. \n" );
document.write( "
Algebra.Com's Answer #794366 by math_tutor2020(3821) ![]() You can put this solution on YOUR website! \n" ); document.write( "The answer is 291 degrees. I'm not sure why it's not listed as one of the choices. Your teacher probably made a typo.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This diagram shows why the answer is 291 \n" ); document.write( " ![]() \n" ); document.write( "The diagram is not to scale.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note how the blue major arc and red minor arc combine to 291+69 = 360 which is the total number of degrees in a full circle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In other words, \n" ); document.write( "(major arc HAT) + (minor arc HT) = 360 \n" ); document.write( "major arc HAT = 360 - (minor arc HT) \n" ); document.write( "major arc HAT = 360 - 69 \n" ); document.write( "major arc HAT = 291 degrees \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |