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

Question

3 years ago

14

of ABC?
84

96

168

192

1 answer:

Sholpan [36] · Answer 1 · 2022-08-30T02:51:37+03:00

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