Find y in the figure

Right corner 35°
Left corner 40° the line continues past the top
Top of triangle y
X the corner between where the line continues and the top

1 answer

To find the value of \( y \) in the triangle you described, we can apply some basic principles of geometry and the properties of triangles.

Based on your description, it seems that you have a triangle in which:

  • One angle at the right corner is \( 35^\circ \).
  • Another angle at the left corner is \( 40^\circ \).
  • The angle at the top of the triangle is \( y \).

According to the Angle Sum Property of triangles, the sum of the angles in any triangle is always \( 180^\circ \). Therefore, we can set up the following equation:

\[ y + 35^\circ + 40^\circ = 180^\circ \]

Now, combine the known angles:

\[ y + 75^\circ = 180^\circ \]

Next, subtract \( 75^\circ \) from both sides to solve for \( y \):

\[ y = 180^\circ - 75^\circ \]

\[ y = 105^\circ \]

Therefore, the value of \( y \) is \( 105^\circ \).