Support beams PQ PQ\,PQ and RS RS\,RS are parallel. A cross-member connects point T T\,T on beam PQ PQ\,PQ to point U U\,U on beam RSRSRS, such that ∠RUT=130∘\angle RUT = 130^\circ∠RUT=130∘. A second frame forms a triangle TUV TUV\,TUV with internal angles ∠TVU=40∘\angle TVU = 40^\circ∠TVU=40∘ and ∠TUV=85∘\angle TUV = 85^\circ∠TUV=85∘.
Find the size of angle xxx, where x=∠VTQx = \angle VTQx=∠VTQ.
Give a reason for each stage of your working.
