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Sagot :
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°)
________________________
(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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