Question

Quadrilateral ABCD is inscribed in circle O if the measure of arc AB is 104 and the measure of arc BC is 88 what is the measure of ABC?
84

96

168

192

Answer 1

Answer:

84degrees

Step-by-step explanation:

First we need to get the measure of arcCA;

arcCA + arcAB+arcBC =  360

arcCA  + 104 + 88 = 360

arcCA + 192 = 360

arcCA = 360 - 192

arc CA =  168degrees

Also since m<ABC = 1/2 arcCA

m<ABC = 1/2 * 168

m<ABC = 84degrees

Hence the measure m<ABC is 84degrees