Question

For the following figure, name the largest and the smallest angle of the triangle.

Short answer

The largest angle is $\angle Z$and the smallest angle is$\angle Y$.

Step-by-step solution

Step 1. Apply the concept of angles.

From the properties of the triangle, that angle opposite to the greater side is greater and Angle opposite to the smaller side is smaller.

Step 2. Check the figure.

Consider the figure $\Delta XYZ$.

Step 3. Find the angle.

From the figure, the measure of sides are as follows:

$\begin{array}{l}XY=29\\ ZY=23\\ XZ=21\end{array}$

Step 4. Step description.

From the properties of the triangle, that angle opposite to the greater side is greater and the angle opposite to the smaller side is smaller.

Then the larger side is $XY=29$and the angle opposite to $XY$is $\angle Z$and the smaller side is $XZ=21$and the angle opposite to $XZ$is $\angle Y$.

Therefore, the largest angle is $\angle Z$and the smallest angle is $\angle Y$.