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Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom left corner measures 80°.

The measure of the angle at the top left corner must measure _____.

A. 40°
B. 80°
C. 100°
D. 160°

Yolanda is making a banner for a school pep rally She cuts fabric in the shape of a parallelogram The angle at the bottom left corner measures 80 The measure of class=

Respuesta :

choixongdong
x + 80 = 180
x = 180 - 80
x = 100
answer
C. 100°
sandlee09

Answer:

C. 100°

Step-by-step explanation:

Hello, great question. These types are questions are a great step for learning more advanced Geometric Equations.

Since we are working with a parallelogram we should first know the properties that this figure has. The properties are the following

  • Opposite sides are equal to each other
  • Opposite angels degrees are equal to each other
  • Angles next to each other equal 180° when added
  • If one angle is 90°, then all angles are 90°.

Based on the properties of a parallelogram shown above we can see that 80° and x are next to each other so their sum should equal 180°. Since this is the case we use this to solve for x like so,

[tex]80+x = 180[/tex] .... subtract 80 on both sides

[tex]x= 100[/tex]

Finally we can see that the value of x is 100° so the answer would be C.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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