In the diagram <PSR=22,<SPQ=58 and PQR=41 calculate the obtuse angle QRS?

To find the obtuse angle QRS, we first need to find the measure of angle PSQ.

Since angles PSR and SPQ are given as 22 and 58 degrees respectively, we can find angle PSQ by subtracting these two angles from 180 degrees (since the sum of angles in a triangle is 180 degrees):

Angle PSQ = 180 - 22 - 58
Angle PSQ = 100 degrees

Now, we can find the measure of angle QRS by subtracting angle PQR from angle PSQ:

Angle QRS = 100 - 41
Angle QRS = 59 degrees

Therefore, the obtuse angle QRS is 59 degrees.