C.
have the same vertex.
done
D.
be congruent
not all congruent angles are vertical angles. Vertical angles must share a vertex.
Vertical angles must be congruent so if they are complementary, they must be 45 degrees to be complementary.
No.
Equal angles.
Vertical, possibly!
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.
Equal angles.
have the same vertex. be congruent.
Vertical angles are formed when two lines intersect, creating two pairs of opposite angles. These angles are always equal in measure; therefore, if one angle measures 50 degrees, its vertical angle will also measure 50 degrees. This property is a fundamental concept in geometry and is useful for solving various problems involving angles.
When two lengths (or lines) intersect, they form two pairs of vertical angles. Vertical angles are the angles that are opposite each other at the intersection point. These angles are always congruent, meaning they have equal measures. Thus, if one angle measures (x) degrees, the opposite angle will also measure (x) degrees.
Because if they werent, they would eventually form an angle.
Opposite angles, also known as vertical angles, are formed when two lines intersect. The intersecting lines create pairs of angles that are opposite each other. Because the sum of angles around a point is 360 degrees, and the adjacent angles formed by the intersecting lines are supplementary (add up to 180 degrees), the opposite angles must be equal to maintain this balance. Thus, vertical angles are always equal.