Respuesta :
Using proportions, it is found that the value of a is of 3.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:
180º - [tex]\pi[/tex] rad.
540º - x [tex]\pi[/tex] rad.
Applying cross multiplication:
180x = 540.
x = 540/180 = 3.
The value of a is of 3.
More can be learned about proportions at https://brainly.com/question/24372153
Using proportions, the value of a is 3.
What is proportion?
Proportion is a mathematical comparison between two numbers.
When going from degrees to radians, 180 degrees is always going to equal π radians.
The conversion of angle from radian to degree;
[tex]\rm 180-\ 1 \\\\540-a[/tex]
The value of a is;
[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]
Hence, the value of a is 3.
Learn more about proportions at;
brainly.com/question/24372153
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