The angles inside a triangle sum up to 180°. However, since you're asking about the exterior angle, we usually mean the angle that is formed outside the triangle at one of its vertices. The exterior angle at a vertex is equal to the sum of the two non-adjacent interior angles.
In this case, you have the following angles:
- Top angle: 37° (interior)
- Right angle: 42° (interior)
- Left angle: x (interior)
To find the exterior angle \( x \), you can use the property that the exterior angle equals the sum of the two opposite interior angles.
So from the triangle, the exterior angle at the left (x) is given by:
\[ \text{Exterior angle} = \text{Angle at the top} + \text{Angle on the right} \]
Calculating it:
\[ x = 37° + 42° = 79° \]
Thus, the measurement of the exterior angle \( x \) is 79°.
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