document.write( "Question 1176989: EVOL is a cyclic quadrilateral, inscribed in a circle with center S. Given that the radius of this circle is 25 in. and angle VEL is 55 degrees, explain your work to find the following measurements.\r
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document.write( "a)Length of Major Arc VL\r
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document.write( "b)Angle measure of Minor Arc VL\r
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document.write( "c)Angle VOL\r
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document.write( "d)Length of Chord VL \n" );
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Algebra.Com's Answer #851935 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer to question (c) in the post by @CPhill, giving angle VOL = 110°, is INCORRECT.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The correct answer to this question is 125°, which complements the angle VEL of 55° to 180°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the same correct answer as Edwin produced to this problem in his post.\r \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1177016.html\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For any quadrilateral, inscribed in a circle, its opposite angles are supplementary: \n" ); document.write( "they complement each other to 180°.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This property of quadrilaterals inscribed into a circle is a standard geometric statement \n" ); document.write( "which students learn/study in a standard Geometry curriculum.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See, for example, my lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A property of the angles of a quadrilateral inscribed in a circle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/word/geometry/The-property-of-the-angles-of-a-quadrilateral-inscribed-in-a-circle.lesson>\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |