Answer:
(B)[tex]{\angle}UVS=39^{\circ}[/tex]
Step-by-step explanation:
Given: A circle with intercepted arc is [tex]78^{\circ}[/tex].
To find: The measure of ∠UVS.
Solution:
Since, we know that the angle made of the inscribed angle is half of the intercepted arc, therefore
[tex]Inscribed angle=\frac{1}{2}Intercepted arc[/tex] (1)
We are given that A circle with intercepted arc is [tex]78^{\circ}[/tex], thus equation (1) becomes:
[tex]{\angle}UVS=\frac{1}{2}arc US[/tex]
[tex]{\angle}UVS=\frac{1}{2}(78^{\circ})[/tex]
[tex]{\angle}UVS=39^{\circ}[/tex]
Therefore, option B is correct.
