Find the measure of the indicated arc

Answer:
m[tex]\widehat{WXY}[/tex] is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m[tex]\widehat{WXY}[/tex]
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m[tex]\widehat{WXY}[/tex] = 2 × 112° = 224°
m[tex]\widehat{WXY}[/tex] = 224°.