jimrgrant1

Answer:

∠ RQU = 25°

Step-by-step explanation:

The opposite angles of an inscribed circle are supplementary, thus

∠ URS + ∠ UTS = 180°, that is

∠ URS + 124° = 180° ( subtract 124° from both sides )

∠ URS = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ URS is an external angle to Δ QUR, that is

∠ RQU + 31° = 56° ( subtract 31° from both sides )

∠ RQU = 25°