Question

The measures of two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each
of the angles of the parallelogram.

Answer 1

Answer:

Step-by-step explanation:In a parallelogram opposite angles are equal

Let the angles 4X,5X

So

4X+4X+5X+5X=360

8X+10X=360

18X=360

X=360/18

X=20°

angles are 100,100,80,80

Answer 2

<A = 80 and <B = 100 degrees.

<C = 100 and <D = 80 degrees.

Step-by-step explanation:

Given: The measures of two adjacent angles of a parallelogram are in the ratio 4 : 5.

Find: The measure of each of the angles of the parallelogram.

Solution:

We know that the opposite angles of a parallellogram are equal.

If ABCD is a parallelogram, then <A + <B = 180

Now <D and <C will be of the same ratio as the opposite sides are parallel.

  4x + 5x = 180

     9x = 180

     x = 20

So <A = 80 and <B = 100 degrees.

Hence <C = 100 and <D = 80 degrees.