What is the measure of AC ? (First Picture)Enter your answer in the box.What is the measure of BC ? (Second Picture)Enter your answer in the box.

Answer:Part 1) [tex]arc\ AC=33\°[/tex]Part 2) [tex]arc\ BC=130\°[/tex]Step-by-step explanation:Part 1) What is the measure of AC ?we know thatThe inscribed angle is half that of the arc it comprises.so[tex]m<ABC=\frac{1}{2}(arc\ AC)[/tex]substitute the values and solve for x[tex]2.5x+4=\frac{1}{2}(7x-2)[/tex][tex]5x+8=(7x-2)[/tex][tex]7x-5x=8+2[/tex][tex]2x=10[/tex][tex]x=5\°[/tex]Find the measure of arc AC[tex]arc\ AC=7x-2=7(5)-2=33\°[/tex]Part 2) What is the measure of BC ?we know thatThe inscribed angle is half that of the arc it comprises.so[tex]m<BDC=\frac{1}{2}(arc\ BC)[/tex]substitute the values [tex]65\°=\frac{1}{2}(arc\ BC)[/tex][tex]2*65\°=(arc\ BC)[/tex][tex]arc\ BC=130\°[/tex]