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What is complementary angles and suplementary angles?
Two angles are complementary if the sum of their measures is 90 degrees.Two angles are supplementary if the sum of their measures is 180 degrees.
Are consecutive interior angles of a rectangle are supplementary?
Yes. Two angles are suplementary if their sum is 180 degrees. All interior angles in a rectangle are 90 degrees, so any pair of these angles is supplementary.
Why are vertically opposite angles equal?
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'.
