To find the measure of the exterior angle \( x \), we first need to understand how exterior angles relate to the interior angles of a triangle.
An exterior angle is equal to the sum of the two opposite interior angles. However, without knowing the other angles or being given information about the specific triangle (like the angles or the third side), we can use the fact that the sum of the angles in any triangle is \( 180^\circ \).
Since we have insufficient information given about the specific triangle (only two sides and no angles provided), we can't directly calculate the exterior angle \( x \) just from the side lengths.
Given the provided answer options: 79, 24, and 90, we might normally associate exterior angles with the right angle (90 degrees) often found in certain specific right triangles.
Based on typical values, the most straightforward approach in cases involving angles and triangles is to guide towards known exterior and interior properties:
- If you assume that the triangle's other angles are acute or obtuse but fit within these two side lengths, the value that might stand out in the general case is usually \( 90 \) degrees, which suggests that if it forms a right triangle scenario in one orientation.
Therefore, if you have to drag one of these options into the box for the measure of the exterior angle \( x \):
90
1 answer