Two adjacent angles of a parallelogram are in the ratio of4:5. Find the measure of each of its angles
Answers
Answered by
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
36
Hence, Let the given adjacent angles are 4x and 5x
We know, Their sum will be 180°
=> 4x + 5x = 180°
=> 9x = 180°
Adjacent angles of ||gm :
4x = 4( 20 ) = 80°
5x = 5( 20 ) = 100°
All angles ; 80°, 100°, 80°, 100°
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