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A photo frame in the shape of a quadrilateral has one diagonal longer than the other. Is it a Rectangle? Why
or why not?
Find the value of ‘x’ from the given

A photo frame in the shape of a quadrilateral has one diagonal longer than the other. Is it a Rectangle? Why or why not? Find the value of ‘x’ from the given class=

Answer :

mhanifa

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

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

  • x - 20° + x + 40° = 180°
  • 2x + 20° = 180°
  • 2x = 160°
  • x = 80°

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