Question

If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know.

Answer 1

Answer:

i. Two angles can be vertical and supplementary.

ii. Yes, we can determine the angles.

Step-by-step explanation:

When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to 180 degrees .

It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is 90 degrees .

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