Question

Find the measure of the indicated arc

Answer 1

Answer:

m$\widehat{WXY}$ 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$\widehat{WXY}$

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°.