In the figure given below, m||n, TU||PQ and ∠SPQ=75ᵒ, ∠QOR =30ᵒ.
Find the angles∠ SOP, ∠ PQR, ∠TUQ & ∠STU.
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1 angle sop=angle qor=30. vertically opposite angles
2 angle spq=angle pqr=75. alternate interior angles
3 angle pqr=angle tuq=75 corresponding angles
4 angle qut+angle stu =180. co interior angles
75+angle stu=180
angle stu=105°
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