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To find the missing angle, we'll assume that the two given angles are part of a triangle or that they are related to a linear pair.
If they are part of a triangle, the sum of the angles in a triangle is 180°.
So, the missing angle \( x \) can be calculated as follows:
\[
x = 180° - (15° + 85°)
\]
\[
x = 180° - 100°
\]
\[
x = 80°
\]
If the angles are part of a linear pair, they would add up to 180° as well. In that case, the missing angle would also be calculated the same way:
\[
x = 180° - (15° + 85°) = 80°
\]
Therefore, in both scenarios, the missing angle is \( 80° \).