Adjacent: (Y,U,Z and V,U,Z), (Y,U,X and W,U,Y)
Vertical: (X,U,W and Y,U,V), (Y,U,X and V,U,W)
Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.Further explanation
Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.
Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.
Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.Learn moreLearn more about vertical angles Learn more about pair of angles Learn more about adjacent angles Answer details
Chapter: pair of angles
Keywords: vertical angles, adjacent angles, pair of angles, complementary angles, horizontal angles
what are you learningby
(a) Complementary angles are adjacent. sometimes
Complementary angles sum to 90°. They don't have to be adjacent.
(b) Angles in a linear pair are supplements of each other. always
That the angles are supplementary is part of the definition of a linear pair.
(c) Vertical angles are adjacent. never
Vertical angle share a vertex, but not a side. They cannot be adjacent.
(d) Vertical angles are supplements of each other. sometimes
Vertical angles are always congruent. If they are both 90°, then they will be supplementary.
(e) If an angle is acute, then its complement is greater than its supplement. never
The supplement of an angle is always 90° more than the complement of the same angle. The complement of an angle cannot be greater than its supplement.
(f) If two complementary angles are congruent, then the measure of each angle is 45°. always
Complementary angles sum to 90°, so if they have the same measure, that measure must be 45°.