Question

Find the measure of the indicated arc

Answer 1

m
`\widehat{WXY}` is 224°

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
`\widehat{WXY}`

By circle theory, we have;

The angle subtended at the center = 2 × The angle subtended at the circumference

∴ m
`\widehat{WXY}` = 2 × 112° = 224°

m
`\widehat{WXY}` = 224°.