Question

the sum of two opposite angles of a parallelogram is 140 degree find angles of the parallelogram.

Answer 1

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let the parallelogram be ABCD

in a parallelogram opposite angles are equal

so the sum of one of the opposite angle is 140°

let the opposite angles be

angle A & angle C

then,

angle A = angle C

angle A +angle C=140°

angle C can write as angle A

so,

angle A + angle A=140°

2(angle A )=140°

angle A =140°/2

=70°

angle A = angle C

angle C =70°

in a parallelogram adjacent angle sum = 180°

so,

angle A + angle D=180°

angle D=180°-70°

angle D=110°

opposite angles are equal

angle D = angle B

angle B=110°

now,

the angles are

angle A=70°

angle B=110°

angle C=70°

angle D=110°