When two angles are similar their corresponding angles are?

Answer 1

In geometry, the term "similar" refers to figures that have the same shape but potentially different sizes (length, width, height). Strictly speaking angles don't have "size" so they would not be "similar". On the other hand if we interpret the intent to be to ask about congruent angles in similar figures the corresponding angles (i.e. angles that occupy the same relative position at each intersection where a straight line crosses two others) will also be congruent.

If angles are similar in that they have approximately (but not necessarily exactly) the same measure, then their corresponding angles will also be approximately the same as each other. Stated another way:

If angles A and B are very close in measure, and angle C is the corresponding angle of angle A and angle D is the corresponding angle of angle B, then angles C and D will be close in measure within bounds that can be predicted based on the difference in measure between angles A and B.