document.write( "Question 891176: Two tangents are drawn to the circle C, such that they meet each other at a point outside the circle making an angle of x degrees. If the angle subtended by the two points of contact at the centre of the centre of the circle is 65 degrees, what is x? \n" ); document.write( "
Algebra.Com's Answer #539561 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! This forms a quadrilateral with angle measures 65, t, t, and x. \n" ); document.write( "x is outside of the circle, 65 is at the circle center, and two angles of t each are opposite from each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "TANGENT, means the angle made ON the circle is 90 degrees. t=90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "65+90+90+x=360, because quadrilateral has 360 degrees for sum of interior angle measures. \n" ); document.write( "x=360-65-180 \n" ); document.write( "x=180-65 \n" ); document.write( "x=115 \n" ); document.write( " |