Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.
A valid conclusion would be that a tautology is true.
If the lines are perpindicular then each pair of vertical angles are supplementary
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The properties of linear pairs and vertical angles are essential for determining angle measures created by intersecting lines. Linear pairs are formed when two lines intersect, resulting in two adjacent angles that sum up to 180 degrees. Vertical angles, formed opposite each other when two lines intersect, are always equal in measure. By using these properties, if the measure of one angle is known, the measures of the adjacent and opposite angles can be easily calculated.
no vertical angles are equal
Yes, vertical angles do have the same measures.
Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.
A valid conclusion would be that a tautology is true.
Vertical angles
true
Vertical angles
false
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
If the lines are perpindicular then each pair of vertical angles are supplementary
they are congruent: exactly equal
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