Respuesta :

Solution:

Given the figure below:

To solve for ∠S,

Theorem: The angle at the center is twice the angle at the circumference.

This implies that

[tex]m\angle S=2\times m\angle\text{U}[/tex]

where

[tex]m\angle U=74\degree[/tex]

Thus, we have

[tex]\begin{gathered} m\angle S=2\times74\degree \\ =148\degree \end{gathered}[/tex]

Hence, we have the value of m∠S to be evaluated as

[tex]148\degree[/tex]

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