If an angle of a parallelogram is two seventh of its adjacent angle, what is the smallest angle of the parallelogram?​

Question

If an angle of a parallelogram is two seventh of its adjacent angle, what is the smallest angle

of the parallelogram?​

in progress 0
Madeline 8 months 2021-09-23T09:59:33+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-23T10:00:35+00:00

    Let x and y be two adjacent angles of a parallelogram.

    According to the question,

    ⇒  x= 32	 y           ----- ( 1 )

    We know in parallelogram, sum of adjacent angles are supplementary.

    ∴  x+y=180 o .⇒   32	 y+y=180 o              \\  [ From ( 1 ) ] \\ ⇒  2y+3y=540 o ⇒  5y=540 o ⇒  y=108 o .

    Substituting value of y in equation ( 1 ) we get,

    ⇒  x= 32	 ×108 o ⇒  x=72 o

    We know that, in parallelogram opposite angles are equal.

    ∴ Four angles of parallelogram are

     108 o ,72 o ,108 o   \: and  \: 72 o .

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )