Answered

IDNLearn.com: Where curiosity meets clarity and questions find their answers. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

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

Sagot :

Rfanfictionidn
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

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.