Question

Suppose that $\Delta FIN\cong \Delta WEB$then name the three pairs of corresponding angles.

Short answer

The three pairs of corresponding angles are$(\angle F,\angle W)\mathbf{,}(\angle I,\angle E)\mathbf{,}(\angle N,\angle B)\mathbf{.}$

Step-by-step solution

Step 1. Apply the concept of congruent triangles.

When two triangles are congruent then their corresponding parts are equal such that their sides and angles are congruent.

Step 2. Find the corresponding angles.

Here$\Delta FIN\cong \Delta WEB.$
Thus, the corresponding angles of both the triangles are congruent.

Step 3. Step description.

The corresponding angles are as follows:

1. $\angle F\cong \angle W$
   
2. $\angle I\cong \angle E$
   
3. $\angle N\cong \angle B$
   

Therefore, the three pairs of corresponding angles are$\left(\angle F,\angle W\right),\left(\angle I,\angle E\right),\left(\angle N,\angle B\right).$