Can someone give me the answer to this problem? also tell me what you did.?

Question

one angle of a parallelogram is 57 degrees. what are the measures of the other three angles?

Answer 1

I'm not doing your homework for you since you're capable of doing it yourself, but think about what all the angles together would logically add up to. Then do the basic subtraction.

Answer 2

Think about the shape of a parallelogram. Draw it if you need to. What are the relationships between the four angles? If one of the angles is 57 degrees what does that tell you about what one of the other angles must be?

There are two bits of information you need to complete this problem

1. The four angles must add up to 360 degrees
2. With a parallelogram there will be two of each angle

So for instance if you had a parallelogram with one of the angles being 38 degrees then you would also have another angle that is equal to that one. Then you would take the sum of those two angles 38 + 38 = 76. Use that number to find the remaining two 360 - 76 = 284. divide that number by 2 because there are two angles left and you have 142 degrees for each of the other angles.

So for this example the four angles would be 38, 38, 142 and 142.

Now try that for your angle of 57 degrees.

Answer 3

A parellogram has a very unique structure or maybe not..., but it has 2 pairs of parallel lines. If it doesn't it is a trapezoid or rectange or whatever. The opposite diagonal of an angle is the same as the the angle on that side. So the opposite diagonal side of 57 is also angle 57. Two sides NEXT to each other are supplementary meaning they add up to 280. So the other two angle are 123. 57+123=180, all set good. Also note that the opposite diagonal side of angle 123 is also 123. To find proff for all these things make 2 pairs of parallel lines. Work on the transversals and find variables to replace angles. When you experiment with math you'll understand.

Answer 4

one angle of the parallelogram does NOT have to be 90 degrees. in fact, if a parallelogram has an angle of 90 degrees it has a special name: a rectangle if the sides are different lengths, or a square if they are the same length.

the answer is:
if one angle is 57 then the opposite angle must also be 57 degrees, since a parallelogram has opposite sides that are parallel and parallel lines have the same angle.
also known is that the sum of all four angles is 180
so we have 360 - 57 - 57 is the sum of the other two unknown angles, or 246 degrees. since we know that the remaining two unknown angles are equal, we divide 66 by two to find that the remaining angles are each 123 degrees.

Answer 5

The angles have to total 360. if one angle is 57, there is another one that is also 57. 360-57-57=246 There are 246 degrees left to be shared by 2 identical angles, so, 2 angles are 57 and 2 angles are 123.

Answer 6

Opposite angle are equal gives two angles of 57°
Sum of other two = 360° - 114° = 246°
Each of these = 123°
Angles are 57°,57°,123° and 123°

Answer 7

The parallelogram is two lines each are parallel.

If you draw two horizontal lines and one line diagonally crossing both, then draw another line parallel to the last line, that is what you are looking at.

If one angle is 57 degrees, there is another angle that is also 57 degrees.

Two remaining angles are half of 360 degrees - 57deg - 57deg. (which equals 123 degrees each)

Remember, you end up with two angles that are equal to each other and you have two sets of them. Then the total of all equals to 360 degrees.

Answer 8

if it is a paralelogram one angle should be 90 degrees so we know the sum of the 3 angles must be 180 so we have 90 + 57 =147 so 180-147=33
the angles are 57, 90, and 33. hope this help :)

Answer 9

yup, kelsey's right! it's because opposite angles of a parallelogram are equal. 2 sets of parallel lines, so the angles made by them are equal :)