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A carpenter cuts the corners of a rectangle to make the trapezoid shown.

An isosceles trapezoid is shown. The top left angle is (9 x) degrees and the bottom left angle is (7 x + 4) degrees.

What is the value of x?
5.375
5.5
11
13

Respuesta :

The value of x in the trapezoid is 11.

Properties of an isosceles trapezoid

  • The base angles are the same
  • The sum of opposite angles is 180° or supplementary.
  • The diagonals are the same in length.

Therefore, the angle 9x and 7x + 4 are supplementary.

Hence,

9x + 7x + 4 = 180

16x + 4 = 180

16x  = 180  - 4

16x = 176

x = 176 / 16

x = 11

learn more on trapezoid here: brainly.com/question/18651035

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