Question

WN
is tangent to circle OO at point WW. If m, arc, W, G, equals, 94, degreesm
WG
⌢
=94
∘
, find m, angle, G, W, Nm∠GWN.
W
N
G
E
O
Answer
Attempt 1 out of 2

m, angle, G, W, N, equalsm∠GWN=
degrees
∘

Answer 1

47°

Reason: The angle between a tangent and a chord through the point of tangency equals half the measure of the intercepted arc. So m∠GWN = 1/2 · m(arc WG) = 1/2 · 94° = 47°.