This would be much easier with a pic, but since I cant draw one for you here, you will need some imagination. Let us take 2 lines and create vertical angles at the intersection of those lines. I am going to call the pairs of vertical angles A, A' and B and B' where A and A' are vertical and B and B' are vertical. Now in your drawing notice that the sum of the degrees of A and B is 180 degrees, they are suplementary. But the sum of A and B' is also 180 degrees. So this means that the measure of B is equal to the measure of B'. We can do the same with A and A'.
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Where two straight lines cross the "vertically opposite" angles are equal.
They are congruent.
NOImproved Answer:-Yes a rhombus has equal opposite acute angles and equal opposite obtuse angles
Vertically opposite angles are the angles that are opposite each other when two lines cross. Vertical means they share the same vertex.