Respuesta :
Answer:
D: (2x + 20°) + x° = 180°
Step-by-step explanation:
Supplementary angles add up to 180°, so that rules out A and C as possible answers.
Answer B has only one angle, so that is out too.
2x + 20° represents one angle, and x represents the other angle
The sum of supplement angles is 180°. Then the value of the x° is 53.33°.
What is supplement angle?
The supplement angle is those angles whose sum up to 180 degrees. Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Given
The supplement of an angle has a measure that is 20° more than twice the measure of the angle x°.
Let the first angle be x°.
Then the other angle is 2x° + 20°.
The sum of supplement angles is 180°. Then
[tex]\begin{aligned} x + 2x + 20 &= 180\\3x &= 180 - 20\\3x &= 160\\x &= 53.33^o\\\end{aligned}[/tex]
Thus, the value of the x° is 53.33°.
More about the supplement angle link is given below.
https://brainly.com/question/25889161
