document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143643>Question 1143643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle ABC is inscribed in a circle with radius, R having  its center at O.<BR>\n" );
document.write( "If angle OBA is 48degrees .Determine the angle ACB .\r<BR>\n" );
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document.write( "--can you plss draw the fig. Thankyou </SPAN>\n" );
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document.write( "The radius of the circle, R, has nothing to do with the problem....<br><BR>\n" );
document.write( "You can draw the figure....<br><BR>\n" );
document.write( "(1) draw the circle with center O<BR>\n" );
document.write( "(2) draw radius OB<BR>\n" );
document.write( "(3) place A on the circle so that angle OBA is 48 degrees (it's a sketch; it doesn't have to be exact....)<br><BR>\n" );
document.write( "To see how to solve the problem, place a new point D on the circle so that BD is a diameter.<br><BR>\n" );
document.write( "Since angle OBA is 48 degrees, the measure of arc AD is 96 degrees.<br><BR>\n" );
document.write( "Since BD is a diameter, arc DAB is 180 degrees, so minor arc AB is 84 degrees.<br><BR>\n" );
document.write( "So side AB of the inscribed triangle divides the circle into a minor arc AB of measure 84 degrees and a major arc ADB of measure 276 degrees.<br><BR>\n" );
document.write( "There are then exactly two possible measures of angle ACB:<BR>\n" );
document.write( "If C is anywhere on minor arc AB, then the arc cut off by angle ACB is 276 degrees, making angle ACB 138 degrees;<BR>\n" );
document.write( "If C is anywhere on major arc ADB, then the arc cut off by angle ACB is 84 degrees, making angle ACB 42 degrees.<br><BR>\n" );
document.write( "ANSWER: With the given conditions, angle ACB can have a measure of either 42 degrees or 138 degrees. </SPAN>\n" );
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