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Attempt following question by selecting a choice to answer. B
Two tangents drawn to a circle from a point are at right angles to each other. What are the measures of the intercepted arcs? f BA. B90, 180 B. B100, 260 C. B120, 240 D. B90, 270
B
D
Step 1: Let the measures of the smaller intercepted arc and the larger intercepted arc be x and y respectively. Step 2: 90 = (y  x)2[Measure of the angle between the tangents = 12 × difference between the measures of the intercepted arcs.] Step 3: y  x = 180[Simplify.] Step 4: y + x = 360[Measure of the major arc + Measure of the minor arc = 360.] Step 5: 2 y = 540[Add step 3 and step 4.] Step 6: y = 270° Step 7: x = 90° Step 8: The measures of the intercepted arcs are 90 and 270.

