Question

In circle

V
V,
V
W
=
2
VW=2 and the length of
⌢
=
2
9
π
WX
⌢
=
9
2
​
π. Find m
∠
W
V
X
∠WVX.

Answer 1

Explanation:

In a circle, the measure of an inscribed angle is equal to half the measure of its intercepted arc. In this case, the inscribed angle is ∠WVX and its intercepted arc is ⌢WX.

Since the length of ⌢WX is (9/2)π, its measure in degrees is (9/2)π * (180/π) = 810/2 = 405 degrees.

Therefore, the measure of ∠WVX is half the measure of its intercepted arc, which is 405/2 = 202.5 degrees.