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 [tex]180^{o}[/tex].
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 [tex]90^{o}[/tex].
Yes, angles that are both vertical supplementary can be determined. They can be 90° each.
Vertical angles are opposite angles where two lines intersect. They are equal. So, angle 1 = angle 2,
A1 = A2 ...{i}
Supplementary angles are those which sum upto form 180. So, angle 1 + angle 2 = 180; i.e.
A1 + A2 = 180 ...{ii} By {i} and {ii} ,
putting i} in ii},
A1 + A1 = 180
Twice A1 = 180
A1 = [tex]\frac{180}{2}[/tex]
= 90
As,
A1 = A2,
So,
A2 is also 90°
Thus, 90° is the correct answer.
To learn more about Angles,
https://brainly.com/question/24573165?referrer=searchResults
