Question 3
Find the measure of the given arc.
mWVY
![Question 3 Find the measure of the given arc mWVY class=](https://us-static.z-dn.net/files/dea/dcce7ae351e89aa1c5787544a909df04.png)
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°.