High School

Given one angle measurement, the remaining three angles can be determined using the principles of vertical angles, complementary angles, and supplementary angles.

If the given angle measurement is [tex]x[/tex], then the other three angles are:

1. The angle vertically opposite to [tex]x[/tex] is also [tex]x[/tex].
2. The angle complementary to [tex]x[/tex] is [tex]90^\circ - x[/tex].
3. The angle supplementary to [tex]x[/tex] is [tex]180^\circ - x[/tex].

Answer :

Final answer:

The remaining three angles can be solved using the principles of vertical angles, complementary angles, and supplementary angles.

Explanation:

The subject of this question is Mathematics.

Given one angle measurement, the remaining three angles can be found using the principles of vertical angles, complementary angles, and supplementary angles.

If the angle measurement given is x, then:

  • The angle vertically opposite to x is also x.
  • The angle complementary to x is 90 - x.
  • The angle supplementary to x is 180 - x.

Learn more about Solving angles using vertical angles, complementary angles, and supplementary angles here:

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