Question

Question 3 Find the measure of the given arc. mWVY

Answer 1

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°.