Question

Find x
in the figure. (1 point) triangle, two other points are 40 and 35 degrees, at the top, y and x are visible.

1 answer

To find the value of \( x \) in the triangle with angles given as 40 degrees and 35 degrees, we can use the property that the sum of the angles in a triangle is always 180 degrees.

Given angles:

  • Angle 1 = 40 degrees
  • Angle 2 = 35 degrees
  • Let Angle 3 = \( x \)

Using the sum of angles in a triangle, we can write the equation:

\[ 40 + 35 + x = 180 \]

Now, we can solve for \( x \):

\[ 75 + x = 180 \] \[ x = 180 - 75 \] \[ x = 105 \]

Thus, the value of \( x \) is \( 105 \) degrees.