Q:

What are two adjacent angles whose non-common sides are opposite rays?

A:

Two adjacent angles whose non-common sides are opposite rays form a linear pair. The two angles combine to be 180 degrees, and the two opposite rays create a straight line. The adjacent angles appear from a single ray that starts at the midpoint of the opposite rays.

The adjacent angles are supplementary in that they add up to 180 degrees. For instance, one angle can be 45 degrees and the other 135 degrees. If two congruent angles create a linear pair, they are right angles at 90 degrees each. Not all supplementary angles are linear pairs, but all linear pairs are supplementary angles. The two rays combine to form a straight line with one point that originates the ray for the linear pair.

There can be many linear pairs that originate from the same point along the two opposite rays. A ray is a line with a firm origination point that goes infinitely in one direction. The opposite rays start at one end point and go infinitely in opposite directions.

Linear pairs have real-world applications in chemistry as it relates to the structure of chemicals and molecules. Knowing the three-dimensional arrangement of atoms and molecules gives scientists clues as to a substance's reactivity, color, magnetism and biological activity.


Is this answer helpful?

Similar Questions

  • Q:

    What is arctan(x) in math?

    A:

    The function arctan(x) describes the inverse tangent of x, wherein the ratio between the length of the sides opposite and adjacent to the angle can be used to determine the degrees or radian of the angle. Arctan can also be written as tan to the power of minus one.

    Full Answer >
    Filed Under:
  • Q:

    What are two angles with a common side and no interior points called?

    A:

    Two angles that share a common side and a common vertex, but have no common interior points are called adjacent angles, often abbreviated as "adj." Adjacent angles lie side by side to each other. Their shared common arm is also called a ray or an edge.

    Full Answer >
    Filed Under:
  • Q:

    How do you measure angles without a protractor?

    A:

    Komplexify explains that, for any acute angle where two sides measure 3" on each ray, one can measure the distance between the two 3" rays and multiply by 20. This gives the angle in degrees. The error rate increases as the angle gets larger: However, even with a right triangle, at 90 degrees, the expected error rate is about 6%.

    Full Answer >
    Filed Under:
  • Q:

    What is a non-polar solvent?

    A:

    A non-polar solvent is one with molecules that have roughly the same electrical charge on all sides; in other words, it has low static permittivity. Non-polar solvents are typically hydrocarbons, such as pentane and hexane.

    Full Answer >
    Filed Under:

Explore