Question

In $\Delta XYZ,\overline{XY}>\overline{YZ}>\overline{ZX}$, which of the following is the smallest angle?

• A. $\angle X$
• B. $\angle Z$
• C. $\angle Y$
• D. $\angle X$ = $\angle Y$ = $\angle Z$

Answer 1

The correct option is C $\angle Y$


Given $\overline{XY}>\overline{YZ}>\overline{ZX}$
$\Rightarrow \angle Z>\angle X>\angle Y$
$\Rightarrow$ The smallest angle is $\angle Y$.