contestada

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement
The measure of the angle is 36 degrees greater than its complement
What is the measure of the complement?
X

Respuesta :

Using complementary angles concept, it is found that the measure of the complement is of 27º.

-------------------------

  • If two angles are complementary, their measures add to 90º, and thus, the complement of an angle x is given by 90 - x.
  • The measure of an angle is 36 degrees greater than it's complement, thus, the measure of the angle is given found using the following equation:

[tex]x = 90 - x + 36[/tex]

[tex]2x = 126[/tex]

[tex]x = \frac{126}{2}[/tex]

[tex]x = 63[/tex]

The complement is: [tex]90 - x = 90 - 63 = 27[/tex].

The measure of the complement is of 27º.

A similar problem is given at https://brainly.com/question/11161460

Otras preguntas