Answer:
The measure of arc AC is 85°
Explanation:
we know that
The inscribed angle measures half that of the arc comprising
so
m∠ABC=(1/2)[arc AC]
substitute
(4x-5.5)°=(1/2)[5x+25]°
(8x-11)°=(5x+25)°
8x-5x=25+11
3x=36
x=12°
Find the measure of arc AC
arc AC=(5x+25)°
arc AC=5(12)+25=85°