Respuesta :

Hey there! :D

Think of a parallelogram as a figure with two triangles. A triangle's interior angles add up to 180 degrees. So,

180 x 2= 360

The corresponding angles will always be supplementary. That interior angle (81 degrees) will be corresponding and supplementary to another angle. 

Let x equal the missing measure of the angle. 

81+x=180

Subtract 81 on both sides. 

x=99

Another measure of an interior angle must be 99 degrees. 

I hope this helps!
~kaikers


Using the property of a parallelogram, we can conclude that 99° must also be the measure of another interior angle.

It is given that

One interior angle of a parallelogram = 81° (let us say it ∠A of parallelogram ABCD)

What is a parallelogram?

A parallelogram is a quadrilateral in which opposite sides, as well as opposite angles, are equal in magnitude. opposite sides are parallel to each other.

The opposite angle C of the given angle A will also be 81°

the sum of rest of angles ∠B+∠D= 360-81-81 = 198°

since in parallelogram opposite angles are equal

so, ∠B=∠D

∠B=∠D  = 198/2 = 99°

Therefore, 99° must also be the measure of another interior angle.

to get more about parallelograms visit:

https://brainly.com/question/970600