find X in the following figures - Maths - The Triangle and its Properties

Question

find X in the following figures

Roopam Pandey · Accepted Answer

Dear student,9)i) AB||CDx+3x=180°            (co interior angles)4x=180°x=180°4x=45°ii)  PQ||RS3x=90°    (corresponding angles)x=90°3x=30°iii) ∠DEP+∠DEQ=180°     (linear pair)∠DEQ=180°-(2x+15°)=165°-2xalso ∠DEQ=∠EFS             (corresponding angles)165°-2x=x+15°3x=150°x=50°Regards