Question

THE OPPOSITE ANGLES OF A PARLELLOGRAM ARE 3x-2 and 50-x. find the measure of each of the parlellogram

Answer 1

Step-by-step explanation:

The opposite angles are  (3x-2)°and ( 50 - x)°

We know,

The opposite angles of a  PARALLELOGRAM are equal

So,

(3x-2)° = ( 50 - x)°

=> 3x° - 2° = 50° - x°

=> 3x° + x° = 50° + 2°

=> 4x° = 52°

=> x° = 52° / 4

=> x° = 13°

So, the angle is

   3x° - 2 °

= 3 x 13° - 2°

= 39° - 2° = 37°

Now, the adjacent angle is = 180° - 37° = 143°      [the adjacent angles of a llgm are always supplementary]

All the angles are 37°, 143°, 37° and 143°.       ( Ans)

HOPE THIS IS HELPFUL !!! : )