Question

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

Answer 1

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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