Question

if one of the interior angles of a parallelogram is 75 degree find the other angles​

Answer 1

Answer:

Here is a parallelogram.

In a parallelogram, opposite angles are congruent (the same value). As pictured the angles diagonal of each other are the same value.

Additionally, angle A and angle B must add up to be 180 degrees.

So here is a parallelogram that we can use to solve the problem.

So let’s set angle A as our given value.

angle A= 75 degrees

So therefore, angle C = 75 degrees because we know that opposite angles are congruent.

Then, we make an equation to find angle B.

Angle A + Angle B = 180 degrees

We know this because of the properties of a parallelogram.

So, plug and chug.

75 degrees + angle B = 180 degrees

(subtract 75 from both sides)

angle B = 105 degrees

And we also know that angle D = 105 degrees because opposite angles are congruent.

So, the measurements of the other angles are 75 degrees, 105 degrees and 105 degrees.

Draw diagram of parallelogram...

Step-by-step explanation:

Hope it helps you!!!!!

Answer 2

Answer:In a parallelogram sum of adjacent sides are180°.

Let another angle be x

In a parallelogram there are 4 angles. 1st is given and second we have to find out.

75°+ x = 180°

x = 180° - 75°

x = 105°

Therefore 1st angle is 75° (given) and second is 105°

In a parallelogram opposite sides are equal

to each other so, angle1st =angle 3rd = 75°

And angle 2nd = angle 4th = 105°

So,

angle 1 = 75°

angle 2 = 105°

angle 3 = 75°

angle 4 = 105°

Mark as brainleist plzzzzzz