Question
What is the measure of exterior angle x of a triangle if the other angles are 37 and 42?
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{79^\circ}
\]
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:
\[
\boxed{79^\circ}
\]