Question

In the trapezoid below, if < BAC = x - 2 degrees and the measure of < DCA is 4x - 3 degrees, find x.

Answer 1

Assuming an isosceles trapezoid

the sum of the inner angles of a trapezoid is 360°

then

`360=2(BAC)+2(DCA)`
`360=2(BAC+DCA)`
`180=(BAC+DCA)`
`180=(x-2)+(4x-3)`
`180=5x-5`
`180+5=5x`
`185=5x`
`(185)/(5)=x`
`x=37`

x=37

correct answer

Option D