document.write( "Question 32946: Does anyone know how to find the size of an angle if you're given the measure of an arc? The angle is formed by a diameter and a secant inside of a circle. \n" ); document.write( "
Algebra.Com's Answer #19434 by stanbon(75887) ![]() You can put this solution on YOUR website! If the measure of the arc is x degrees, the measure of your angle is x/2 degrees. \n" ); document.write( "Draw the picture you described; Draw a central angle that subtends the \n" ); document.write( "same arc. The triangle formed is equilateral because two of the sides \n" ); document.write( "are radii. The supplementary angle at the center is 180-x degrees. \n" ); document.write( "Your angle is 1/2(180-(180-x))= (1/2)x degrees. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H> \n" ); document.write( " |