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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
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