Angles are congruent

Answer 1

Congruent angles exactly the same size and shape. They have the same measurements. For example, two angles are congruent if they both measure 85 degrees, or if they both measure 621 degrees. As long as they have the exact same measurement, angles are congruent. But they do not have to be the same length and width.

The definition of congruent is:

con·gru·ent /kənˈgro͞oənt/

Adjective:

1. In agreement or harmony.
2. (of figures) Identical in form; coinciding exactly when superimposed.

As noted with the mathematical example above, they are identical angles. If you put two congruent triangles over one another, they will look the same.

In a cube, all sides if sliced off from each other until they are each 2D squares, will all be congruent.

Answer 2

Angles are congruent if and only if their measures are the same.

Angles are merely equal, that is, they have the same shape/number of degrees. Triangles are congruent when they have the same shape and the same size.