Respuesta :

altavistard

First, find the value of x.  Note that the angles x, 0.5x and 3x sum up to 4.5x, and that this sum has the value 180 degrees.  Solving this equation for x, we get x = 40 degrees.

Now, 0.5x and 0.5y are vertical angles, and thus x = y.  So, with x being 40 degrees, y = 40 degrees.

The value of y in the figuare is 40°, the correct option is C.

What is the staright line?

By definition, a straight line is the set of all points between and extending beyond two points.

The sum of all the angles is equals to 180 degrees.

[tex]\rm x+0.5x+3x=180\\\\4.5x=180\\\\x=\dfrac{180}{4.5}\\\\x=40[/tex]

The opposite angles are equal then the value of y is;

[tex]\rm 0.5x=0.5y\\\\0.5 \times 40 =0.5y\\\\20 =0.5y\\\\y=\dfrac{20}{0.5}\\\\y=40[/tex]

Hence, the value of y in the figuare is 40°, the correct option is C.

Learn more about straight line here;

https://brainly.com/question/12743768

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