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The measure of one angle of a parallelogram is 45° .what are the measure of the other angles

Sagot :

rfanfiction
In a parallelogram, the opposite sides of the shape are parallel. Also, the opposite angles have the same measure. This means that the angle opposite to your 45° is also 45°. Another rule of parallelograms states that consecutive angles (right next to each other) are supplementary. That means that if you add their measures together, you get 180°. Subtract 45° that we know from 180° to find the remaining angle. 180-45=135. This means the the other two angles are 135° and are opposite of each other. It would look something like this:
                      ________________________
(45°)  ---->   /                                                  /  <------- (135°)
                   /                                                  /   
(135°) --> /__________________________/  <------ (45°)

The measure of the other angles in the given parallelogram are; 45°, 135°, 135°

What are the angles in the Parallelogram?

Sum of all angles in a parallelogram is 360°.

Now, in a parallelogram there are two equal pairs of angles.

Thus, since we are given one of the angles as 45°, it means there will be two angles of 45°. Thus, the other angle will be;

2x + (45 + 45) = 360

2x + 90 = 360

2x = 270

x = 135°

Read more about angles in a parallelogram at; https://brainly.com/question/24056495

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