Question

which triangle is different to the others?

Explanation:

Step1: Calculate the third angle of each triangle

For \(\triangle MLN\):
The sum of angles in a triangle is \(180^{\circ}\). Let the third angle be \(x\).
\(x = 180^{\circ}-(34^{\circ}+ 58^{\circ})=180^{\circ}-92^{\circ}=88^{\circ}\)
For \(\triangle ABC\):
Let the third angle be \(y\).
\(y = 180^{\circ}-(32^{\circ}+58^{\circ})=180^{\circ}-90^{\circ}=90^{\circ}\)
For \(\triangle PQR\):
Let the third angle be \(z\).
\(z = 180^{\circ}-(32^{\circ}+58^{\circ})=180^{\circ}-90^{\circ}=90^{\circ}\)

Answer:

The triangle \(\triangle MLN\) is different from the others.