Question

two adjacent angles of parllelogram are in ratio 5:4 find the measures of all angles
please answer please​

Answer 1

Ratio of angles of parallelogram=5:4

Let the angles be,

5x and 4 x .

As we know that sum of two angles of parallelogram is 180°.So,

5x+4x =180°

9x=180°

x=180°/9

x=20°

Measures of angles:

5x=5*x (5*20°)=100°

4x=4*x(4*20°)=80°

Answer 2

Answer:

Let the first angle, a = 5x

Let the second angle, b = 4x

5x + 4x = 180• [sum of co - interior angles is 180•]

9x = 180•

x = 180/9 •

x = 20 •

Now ,

Measure of the first angle , a = 5x = 5 X 20• = 100•

Measure of the second angle , b = 4x = 4 X 20• =80•

angle a = angle c ( opposite angles of a llgm are equal )

angle a = angle c ( opposite angles of a llgm are equal )angle b = angle d ( opposite angles of a llgm are equal)

angle a = angle c = 100•

angle b = angle d = 80 •

( plz refer to the attached figure)