Question

Solve for [x]. Each figure is a trapezoid.
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Answer 1

Question 1

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

`-16x+10x+86=180 \\ \\ 10x+70=180 \\ \\ 10x=110 \\ \\ x=11`

Question 2

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

`9x+30+7x-10=180 \\ \\ 16x+20=180 \\ \\ 16x=160 \\ \\ x=10`