Respuesta :

r3t40

The sum of all angles is 180 degrees. Which means.

[tex]

2y+y+10+50=180

[/tex]

Now just solve for y.

[tex]

3y+60=180 \\

3y=120 \\

y=\boxed{40}

[/tex]

The value of y is 40 therefore option B.

Hope this helps.

r3t40

carlosego

For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees. Then, according to the figure we have:

[tex]y + 10 + 2y + 50 = 180[/tex]

We add similar terms:

[tex]y + 2y + 10 + 50 = 180\\3y + 60 = 180[/tex]

We subtract 60 from both sides of the equation:

[tex]3y = 180-60\\3y = 120[/tex]

We divide between 3 on both sides of the equation:

[tex]y = \frac {120} {3}\\y = 40[/tex]

Thus, the value of "y" is 40 degrees.

ANswer:

Option B

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