in the given figure, DE // BC and MF// AB, FIND : 1. angle ADE + angle MEN 2. angle BDE 3. angle BLE

Question

in the given figure, DE // BC and MF// AB, FIND : 1 angle ADE +
angle MEN 2 angle BDE 3 angle BLE

Rishabh Mittal · Accepted Answer

As BL∥DE and BD∥LESo, BLED is a ∥gm 
∠DBL=∠DEL=40°    Opposite angles of parallelogram∠MEN=∠DEL=40°   Vertically Opposite angles∠DBL=∠ADE=40°    Corresponding Angles∠ADE+∠MEN=40°+40°∠ADE+∠MEN=80°∠DBL+∠BDE=180°    Interior angles on same side of transversal of parallel lines40°+∠BDE=180°∠BDE=140°∠BDE=∠BLE=140°    Opposite angles of parallelogram