Question

If

m
�
�
⌢
=
5
4
∘
m
GT
⌢
=54
∘
and
m
�
�
⌢
=
16
0
∘
m
YC
⌢
=160
∘
, find
m
∠
�
m∠W.

Answer 1

∠ W = 53°

Explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W =
`(1)/(2)` (YC - GT) =
`(1)/(2)` (160 - 54)° =
`(1)/(2)` × 106° = 53°