Question
The diagram shows a triangle.
12y
7y
11y
What is the value of y?
y =
°
12y
7y
11y
What is the value of y?
y =
°
Answers
GPT-4o mini
To solve for \( y \) in the triangle with angles measuring \( 12y \), \( 7y \), and \( 11y \), we can use the fact that the sum of the angles in a triangle is always \( 180^\circ \).
We can set up the equation:
\[
12y + 7y + 11y = 180^\circ
\]
Now, combine the terms on the left side:
\[
(12y + 7y + 11y) = 30y
\]
So the equation becomes:
\[
30y = 180^\circ
\]
Next, we solve for \( y \) by dividing both sides by \( 30 \):
\[
y = \frac{180^\circ}{30} = 6^\circ
\]
Therefore, the value of \( y \) is:
\[
\boxed{6}
\]
We can set up the equation:
\[
12y + 7y + 11y = 180^\circ
\]
Now, combine the terms on the left side:
\[
(12y + 7y + 11y) = 30y
\]
So the equation becomes:
\[
30y = 180^\circ
\]
Next, we solve for \( y \) by dividing both sides by \( 30 \):
\[
y = \frac{180^\circ}{30} = 6^\circ
\]
Therefore, the value of \( y \) is:
\[
\boxed{6}
\]