Math, asked by haris277, 1 year ago

Two adjacent angles of a parallelogram are in the ratio of4:5. Find the measure of each of its angles

Answers

Answered by fiercespartan
37

Hey there!

Two adjacent angles in parallelogram are always supplementary ( equal to 180 degrees )

Let's take the angles as ' x '

Then, the ratios are 4x and 5x

If we add them, we get 180

4x + 5x = 180

9x = 180

x = 20

angles are ( 20 ) ( 4 ) and ( 20 ) ( 5 )

angles are = 80 and 100

Hope my answer helps!

@sid071

Answered by abhi569
36
 \mathbf{In \: \: ||gm, \: sum \: \: of \: \: adjacent \: \: angles \: \: is \: \: equal \: \: to \: \: 180°} \\ \\ \mathbf{<br />And \: \: opposite \: \: angles[ face \: \: to \: \: face \:\:angles ] \: a re\:\: equal, \: Not \: \: vertically \: \: opposite \: \: angles}



Hence, Let the given adjacent angles are 4x and 5x


We know, Their sum will be 180°



=> 4x + 5x = 180°

=> 9x = 180°

 = &gt; x = \frac{180}{9} \\ \\ \mathbf{ = &gt; x = 20 \degree }



Adjacent angles of ||gm :

4x = 4( 20 ) = 80°
5x = 5( 20 ) = 100°




All angles ; 80°, 100°, 80°, 100°
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