Question

Find all the other angle of paralleogram one of whose a gle is 55°​

Answer 1

Given

∠A = 50°

We know that the opposite angles of a parallelogram are equal.

Therefore , ∠C = ∠A = 50°

∠A + ∠B = 180° [sum of co - interior angles]

=> 50° + ∠B = 180°

=> ∠B = 180° - 50°

=> ∠B = 130°

∠D = ∠B = 130° [opposite angles of parallelogram are equal].

Answer 2

Step-by-step explanation:

in parallelogram ABCD

Let

angle A =55

then,

angle A = angle C = 55

(opposite angle of parallelogram are equal)

now we know

angle A + angle B = 180

(alternate angle of a parallelogram are supplementary)

then

angle (A+B)=180

55 + angle B=180

angle B = 180-55

angle B = 125

hence,

angle B = 125

then,

angle B = angle D = 125

(opposite angle of parallelogram are equal)

angle A = 55

angle B = 125

angle C = 55

angle D = 125