Question

Given:
BOAT is an isosceles trapezoid.

Answer 1

130 + x = 180
solve for x

Answer 2

In an isosceles trapezoid, the base angles are congruent.
That means that
m<T = m<A
m<B = m<O

Also, since the bases are parallel, same side interior angles are supplementary.
m<T + m<B = 180, but from above we know that m<B = m<O, so substitute and get
m<T + m<O = 180, and m<T = 130, so
130 + m<O = 180
Solve for m<O