Question

THE Sum of the two opposite, angles of parallelogram
is 200°. Find its other
angles​

Answer 1

Answer:

So,

in a parallelogram two opposite sides are equal and parallel.

so, opposite angles are also equal as, they are adjacent to equal opposite sides.

so, sum of two opposite angles is 200°

let the other two angles be x° each

we know that parallelogram is a quadrilateral and sum of all angles of a quadrilateral is 360°

so,

200°+x°+x°=360°

=> 200°+2x°=360°

=> 2x°=360°-200°

=> 2x°=160°

=> x°=(160/2)°

=> x°=80°

So, the other two angles are 80° each.

Hope this helps you.