Question

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

• A. X
• B. Z
• C. Y
• D. X = Y = Z

Answer 1

The correct option is C

Y

Given $\overline{XY}>\overline{YZ}>\overline{ZX}$
$\Rightarrow \angle Z>\angle X>\angle Y$ (Angle opposite to the smallest side is smallest)
$\Rightarrow$ The smallest angle is $\angle Y$.