What is the measure of exterior angle x of a triangle if the other angles are 37 and 42?

1 answer

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

Given the interior angles of the triangle are \( 37^\circ \) and \( 42^\circ \), we can find \( x \) using the formula:

\[ x = \text{(sum of the two non-adjacent interior angles)} \]

Calculating the sum of the two given angles:

\[ x = 37^\circ + 42^\circ \]

Now, adding these together gives:

\[ x = 79^\circ \]

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

\[ \boxed{79^\circ} \]