Question

answer the question please​

Answer 1

Answer:

∠L = 75° , ∠M = 105° and ∠O = 105°......

Step-by-step explanation:

LMNO is a paralleogram.............(given)

∠N = 75°...................( given)

∴ ∠L = ∠N ..............(opposite angles of a parallelogram are equal)

∴∠L = 75°

Now, ∠N + ∠M = 180°...............( Adjacent angles of a parallelogram are

                                                     supplementary)

∴ 75° +∠M = 180°

∴ ∠M = 180°-75°

∴ ∠M = 105°

∠O = ∠M..............(opposite angles of a parallelogram are equal)    

∴∠O = 105°                      

HOPE IT HELPS YOU......!!      

Answer 2

Answer:

In the above given figure ,

In the above given figure , opposite sides are parallel to each other.

In the above given figure , opposite sides are parallel to each other.Thus the given figure is a quadrilateral known as parallelogram.

Corresponding angles add up to give 180° . (1)

Alternate angles are equal.(2)

1. so, angle L = angle N = 75°.
2. so, angle L = angle N = 75°.angle o + angle n = 180° ( from 1 ).
3. so, angle L = angle N = 75°.angle o + angle n = 180° ( from 1 ).angle o = 180° - 75° .
4. so, angle L = angle N = 75°.angle o + angle n = 180° ( from 1 ).angle o = 180° - 75° .angle o = 105°.
5. so, angle L = angle N = 75°.angle o + angle n = 180° ( from 1 ).angle o = 180° - 75° .angle o = 105°.angle o = angle m = 105°.

• so the angles of l,m,n,o are 75°, 105°, 75°,105° respectively.