Question

find the measures of angle of a parallelogram if one angle is 20​

Answer 1

Answer:

20,20,160,160

Step-by-step explanation:

In a parallelogram opposite angles are equal so we got two angles 20 degree each. Let the other pair of opposite angles be x degree each.(oppisite angles equal)

So

Angle sun of parallelogram is 360

20 +20+x+x=360

40+2x=360

2x=360-40=320

X=320/2=160

So the angles are 20,20,160,160.

DO FOLLOW....

Answer 2

A Parallelogram has 4 angles ∠A ,∠B, ∠C and ∠D.

Let us assume that ∠A = 20 ° and ∠C is the angle opposite to it.

Then ∠C = 20° because in a parallelogram opposite sides are equal.

Also, Let us assume that ∠ C and ∠B are adjacent angles and ∠B is opposite to ∠D.

Then, ∠C + ∠B = 180°

           20° + ∠B = 180°

               ∠B = 160 °

Then, ∠D = ∠B = 160° because opposite angles in a parallelogram are equal.

Hence solved.