Given:
m(ar XW) = 47.3°
To find:
The measure of arc WVY
Solution:
In the given figure XW and XY are equal arcs.
m(ar XY) = m(ar XW)
m(ar XY) = 47.3°
Measure of complete circle = 360°
m(ar WVY) + m(ar YX) + m(ar XW) = 360°
m(ar WVY) + 47.3° + 47.3° = 360°
m(ar WVY) + 47.3° + 47.3° = 360°
m(ar WVY) + 94.6° = 360°
Subtract 94.6° from both sides.
m(ar WVY) + 94.6° - 94.6° = 360° - 94.6°
m(ar WVY) = 265.4°
The measure of arc WVY is 265.4°.