Question

in a parallelogram ABCD angle A=(3x-60degree) and anfle B = (4b+9degree) find x and all the angles of the parallelogram​

Answer 1

Answer:

80°,100°,80°,100° are the angles of the parallelogram

Step-by-step explanation:

Given, in a parallegram ∠A = 3x-4  & ∠B = 3x+16  (check your question)

we know that, in a ║gm, the sum of adjacent angles = 180°

=> ∠A + ∠B = 180°

=> 3x-4°  + 3x+16° = 180°

=> 6x+12° = 180°

=> 6x = 180° - 12°

=> 6x = 168°

=> x = 168°/ 6

=> x = 28°

Now,

∠A  = (3x - 4)°

      = (3 × 28 - 4)°  = (84-4) °

      = 80°

& ∠B = (3x + 16)°

        = (3 × 28 + 16)°

        = (84 + 16)°

        = 100°

80°,100°,80°,100° are the angles of the parallelogram