Question

In the given figure (not drawn to scale), $\angle UVT={72}^{\circ }$ and $\angle TSZ={53}^{\circ }$, then find $\angle XZY+\angle SXY$.

• A. ${60}^{\circ }$
• B. ${125}^{\circ }$
• C. ${180}^{\circ }$
• D. None of these

Answer 1

The correct option is B ${125}^{\circ }$

We have given that,
$XZ\parallel UV$ and $ST\parallel XY$.
Now, $\angle UVY=\angle XZY$ (Corresponding angles)
$\Rightarrow \angle XZY={72}^{\circ }$
Also, $\angle TSZ=\angle YXS$ (Corresponding angles)
$\Rightarrow \angle YXS={53}^{\circ }$
Hence, $\angle XZY+\angle YXS={72}^{\circ }+{53}^{\circ }={125}^{\circ }$.