What is the measure of the exterior angle x, in the triangle one degree is 35, and one is 42.

1 answer

To find the measure of the exterior angle \( x \) of a triangle, we can use the fact that the exterior angle is equal to the sum of the two opposite interior angles.

Let's denote the interior angles of the triangle as follows:

  • Angle A: 35 degrees
  • Angle B: 42 degrees
  • Angle C: \( C \)

The sum of the angles in a triangle is 180 degrees, so we can find angle C:

\[ C = 180 - (A + B) = 180 - (35 + 42) = 180 - 77 = 103 \text{ degrees} \]

Now, the exterior angle \( x \) corresponding to angle C can be calculated as follows:

\[ x = A + B = 35 + 42 = 77 \text{ degrees} \]

Thus, the measure of the exterior angle \( x \) is:

\[ \boxed{77 \text{ degrees}} \]