Find the measure of the exterior angle, x.

1. x, 2. 40°, 3. 70°
x = [?]°

1 answer

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

Given the angles:

  • One interior angle is \( 40^\circ \)
  • The other interior angle is \( 70^\circ \)

According to the exterior angle theorem:

\[ x = 40^\circ + 70^\circ \]

Calculating the sum:

\[ x = 110^\circ \]

Thus, the measure of the exterior angle \( x \) is \( 110^\circ \).

So, \( x = 110^\circ \).