Question

Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called ____ angles.
a) adjacent; vertical
b) adjacent; complementary
c) vertical; adjacent
d) vertical; supplementary

Answer 1

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 more

1. Learn more about vertical angles brainly.com/question/2448393
2. Learn more about pair of angles brainly.com/question/1358595
3. Learn more about adjacent angles brainly.com/question/10557061

Answer details

Grade:  9

Subject:  mathematics

Chapter:  pair of angles

Keywords:   vertical angles, adjacent angles, pair of angles, complementary angles, horizontal angles

Answer 2

The correct answer in this question is option C. Angles whose sides are opposite rays are called vertical angles. They are made by two intersecting lines. Two coplanar angles with a common side, a common vertex and no common interior points are called adjacent angles.