Question

Two adjacent angles of a parellogram are in the ratio 4:5 find the measure of each of its angle

Answer 1

Heya ✋

Let see your answer !!!

Let ABCD be the given parallelogram in which two adjacent angles of a parallelogram be 4x and 5x.

< A = < C [opposite angles of parallelogram are equal]

< B = <D [opposite angles of parallelogram are equal]

4x + 5x + 4x + 5x = 360

=> 18x = 360

=> x = 360/18

=> x = 20

Hence , < A = < C = 4 × 20 = 80°

< B = < D = 5 × 20 = 100°

Hence , the angles of the parallelogram are 80° , 100° , 80° and 100°.






Thanks :)))

Answer 2

Let,
Angles are,
4x, 5x, 4x, 5x

Now,

4x+5x+4x+5x = 360

18x =360

x=360/18

x =20


Now,
Angles are,

4×20=80°
5×20=100°
4×20=80°
5×20=100°



I hope this will help you


-by ABHAY