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Annette [7]
3 years ago
6

A photo frame in the shape of a quadrilateral has one diagonal longer than the other. Is it a Rectangle? Why

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

  • 80°

Step-by-step explanation:

A rectangle has same opposite sides and 4 right angles as property of a rectangle.

The photo frame has different diagonal lengths

It makes opposite sides different, therefore it is not a rectangle

<u>Given angles (x - 20) and (x + 40) are consecutive interior angles which add up to 180°</u>

  • x - 20° + x + 40° = 180°
  • 2x + 20° = 180°
  • 2x = 160°
  • x = 80°
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Step-by-step explanation:

1.)Reorder the terms:

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2.)Solving

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3.)Solving for variable 'x'.

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9.)Simplifying

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