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.
Equal angles.
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.
No.
No. To be an angle, the ends of each ray must have the same endpoint, therefore, the lines must intersect. Parallel lines have the same slope, so cannot ever intersect.
Yes
Equal angles.
Equal angles.
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.
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.
No, for a polygon to be regular it must have equal side lengths and angles.
Vertical, possibly!
...must be coplanar.
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.
have the same vertex. be congruent.
No. To be an angle, the ends of each ray must have the same endpoint, therefore, the lines must intersect. Parallel lines have the same slope, so cannot ever intersect.