Question

In a parallelogram , ∠ = 75°. Find all the angles of the parallelogram.

Answer 1

Answer:

remaining angles are 75°,130°,130°

Answer 2

Answer:

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.