Answer :
In a rectangle, diagonals bisect each other and create four congruent right triangles. Since∠QPO = 30°, then∠POQ = 180° - ∠QPO - ∠OPQ = 180° - 30° - 90° = 60°.
Since triangles POQ and SOQ share a hypotenuse (PQ) and congruent angles (∠POQ and ∠SOQ), they are congruent by the Hypotenuse-Leg (HL) theorem. Therefore, ∠SOQ = ∠POQ = 60°.
Since triangles POQ and SOQ share a hypotenuse (PQ) and congruent angles (∠POQ and ∠SOQ), they are congruent by the Hypotenuse-Leg (HL) theorem. Therefore, ∠SOQ = ∠POQ = 60°.
