Name the following triangle: #ΔQRS#, where #m∠R = 94, m∠Q = 22 and m∠S = 90#?

Assuming that the angles of the triangle #DeltaQRS# are given in degrees, it is observed that

#m/_Q+m/_R+m/_S=22^@+94^@+90^@=206^@#.

As sum of the angles of the triangle is more than #180^@#, it is not a triangle drawn on a plane.

In fact it is on a sphere that sum of the angles of a triangle lies between #180^@# and #540^@#.

Hence #DeltaQRS# is a spherical triangle.

In such cases the amount by which it exceeds #180^@# (here #26^@#) is called spherical excess.