Point p lies outside circle O,which has a diameter of line AOC.The angle formed by tangent line PA and secant line PBC measures 30 degrees.Sketch the conditions given above and find the number of degrees in the measure of minor arc CB.[show all work.]
2007-11-16 10:25:53 · 2 answers · asked by yanksrule4691 1 in Science & Mathematics ➔ Mathematics
Measure of minor arc CB = 60 degrees
I drew a circle with all the details added in. 30 degrees is 1/2(difference between the arcs cut off after drawing the lines). I know AOC is the diameter so arc AC = 180 degrees.
0.5(180 - x) = 30
180 - x = 60
x = 120
But 120 is only arc AB. CB is the remainder of the measures of the arcs.
120 + 180 + CB = 360
CB = 60
2007-11-16 10:34:29 · answer #1 · answered by UnknownD 6 · 0⤊ 0⤋
angle APC = 1/2(180-arc AB ) = 30
180 -arc AB = 60
-arc AB = -120
arc AB = 120
arc BC = 180 - arc AB = 190 -120 = 60 degrees
2007-11-16 18:34:46 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋