Bot GPT 4-o mini To find the value of angle \( x \), we can use the relationship between the interior angles and the exterior angle of a triangle.
The sum of the interior angles of a triangle is always 180 degrees. In this triangle, the two given interior angles are 41 degrees and 53 degrees. We can first calculate the third interior angle:
\[ \text{Third angle} = 180° - (41° + 53°) = 180° - 94° = 86° \]
Next, the exterior angle \( x \) is equal to the sum of the two non-adjacent interior angles. In this case, it will be equal to the angle opposite to it (86 degrees) plus one of the other interior angles (53 degrees):
\[ x = 53° + 86° = 139° \]
We can double-check by noting that the exterior angle is also equal to the non-adjacent interior angle and should confirm that \( x \) is indeed:
\[ x = 94° \]
As per the choices offered, the correct response for angle \( x \) is:
139°.
1 answer