20 degrees
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Use the fact that the sum of the angles in any triangle equals 180 degrees.
Therefore, we can calculate the measure of angle SQR by subtracting the sum of the measures of angles RSQ and QRS from 180 degrees:
- m∠SQR = 180° - m∠RSQ - m∠QRS
- m∠SQR = 180° - 117° - 43°
- m∠SQR = 20°
Thus, the measure of angle SQR in triangle QRS is 20°.
