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What is the measure of the exterior angle x? An illustration shows a triangle with an interior angle at the top vertex of 37 de...Question
What is the measure of the exterior angle x?
An illustration shows a triangle with an interior angle at the top vertex of 37 degrees and an interior angle at the right vertex of 42 degrees. A line extending outward from the left vertex forms an exterior angle that is labeled x.
(1 point)
Responses
59°
59 degrees
42°
42 degrees
37°
37 degrees
79°
An illustration shows a triangle with an interior angle at the top vertex of 37 degrees and an interior angle at the right vertex of 42 degrees. A line extending outward from the left vertex forms an exterior angle that is labeled x.
(1 point)
Responses
59°
59 degrees
42°
42 degrees
37°
37 degrees
79°
Answers
GPT-4o mini
To find the measure of the exterior angle \( x \), we can use the property that an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In this triangle:
- One interior angle is \( 37^\circ \).
- The other interior angle is \( 42^\circ \).
Now, we calculate the sum of these two angles:
\[
37^\circ + 42^\circ = 79^\circ
\]
Therefore, the measure of the exterior angle \( x \) is \( 79^\circ \).
The answer is:
**79°**
In this triangle:
- One interior angle is \( 37^\circ \).
- The other interior angle is \( 42^\circ \).
Now, we calculate the sum of these two angles:
\[
37^\circ + 42^\circ = 79^\circ
\]
Therefore, the measure of the exterior angle \( x \) is \( 79^\circ \).
The answer is:
**79°**