Question

the sum of opposite angles of parallelogram is 160°. find all angles of parallelogram.

Answer 1

As we know that the opposite angles in a parallelogram be equal.
So we have given the sum of the opposite angles 160°
Both the opposite angles will be the same = 160°/2 = 80° and 80°
and other two angles will also be the same because it also be the opposite angles.
The sum of total four angles of a parallelogram = 360°
So the remaining two angles will be 360°-160° = 200° => 200°/2 = 100° and 100°

All four Angles will be-
<A = 80°
<B = 100°
<C = 80°
<D = 100°

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