Question

A carpenter cuts the corners of a rectangle to make the

trapezoid shown.
What is the value of x?
(9x)
y (7x + 4)º

Answer 1

x = 11

Explanation:

just took the test

Answer 2

The value of x is 11.

Explanation:

We can see from the diagram attached that the 9x° and the (7x+4)° are co-interior angles.

The reason is that, the two bases of the trapezoid are parallel.

Co-interior anlges or same side interior angles are supplementary.

This implies that:

`9x + (7x + 4) = 180`

`9x + 7x = 180 - 4`

`16x = 176`

`x = (176)/(16)`

`x = 11`