IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.
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
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
