In triangle QRS, the measure of angle RSQ is 29.1°, and the measure of angle QRS is 76°. What is the measure of angle SQR?

The sum of the angles in any triangle is always 180 degrees.

So, we can use this fact to find the measure of angle SQR by subtracting the measures of angles RSQ and QRS from 180 degrees.

Angle SQR = 180 - (angle RSQ + angle QRS)

Angle SQR = 180 - (29.1 + 76)

Angle SQR = 74.9 degrees

Therefore, the measure of angle SQR is 74.9 degrees.