Answer:
[tex] m\widehat {AB} = 144\degree [/tex]
[tex]m\widehat {ACB} = 216\degree [/tex]
Step-by-step explanation:
Let the measures of the given arcs be 2x and 3x.
[tex] \because m\widehat {AB} \:\&\: m\widehat {ACB} [/tex] sums up to form a circle.
Therefore,
2x + 3x = 360°
5x = 360°
x = 360°/5
x = 72°
2x = 2*72 = 144°
3x = 3*72° = 216°
[tex] \therefore m\widehat {AB} = 144\degree [/tex]
[tex] \& m\widehat {ACB} = 216\degree [/tex]
