Question

The measure of $\angle TUS$ in the above figure is

• A. ${35}^{\circ }$
• B. ${40}^{\circ }$
• C. ${45}^{\circ }$
• D. ${50}^{\circ }$

Answer 1

The correct option is B ${40}^{\circ }$

Using the "Exterior angle property" of a triangle, we get,
$\angle TSF=\angle STU+\angle TUS$
${105}^{\circ }={65}^{\circ }+\angle TUS$
$\angle TUS={105}^{\circ }-{65}^{\circ }$
$\angle TUS={40}^{\circ }$