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corresponding angles are angle that if u took one angle it would correspond (witch means equal) with the other angle The angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal!
If the triangles are similar, then each of the three angles in one of them is equal to the corresponding angle in the other one.
Corresponding angles (also called F angles) are ang les that are the same on parallel lines (lines at the same angle next to each other) with a bisecting angle (a line that cuts through the parallel line). The lines look like a capital F and the corners of the "F" are the corresponding angles and they are the same.
In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.