Question

Two Adjacent Angles Of A Parallelogram Are In Ratio 4:5.Find All The Angles Of A Parallelogram

Answer 1

Answer:

Angles = 100°, 100°,80°, 80°

Step-by-step explanation:

In parallelogram, we know that pair of adjecent angles always forms 180 degree.

In parallelogram ABCD,

angle ABC + angle BCD = 180 °

angle CDA + angle DAC = 180 °

Also in any parallelogram we know that opposite angles are same

so, angle DAB = angle BCD

angle ABC = angle CDA

In given question,

Let angle ABC = angle CDA = 5x

then, angle BCD = angle DAB = 4x

Now,

angle ABC + angle BCD = 180 °

so, 5x + 4x = 180 °

       9x = 20°

so, angle ABC =  angle CAD = 5x = 5 × 20 = 100°

     angle BCD = angle DAB = 4x = 4 × 20 = 80°