Given: TRAP is an isosceles trapezoid and m Angle T is four less than three times m Angle R. Determine m Angle A and m Angle P?

Answer 1

Doing problem based on T being lower left, R being upper left, A being upper right and P being lower right points of the trapezoid. If that is not true, then the concepts below are still applicable.

upper and lower base angles on same side of isosceles trapezoid are supplementary so <T and <R are supplementary

if m<R = x, then m<T = 3x-4

and x + 3x - 4 = 180

4x = 184

x = 46

so m<R = 46 and m<T = 3(46)-4 = 134

upper base angles of isosceles trapezoid are equal, so m<R = m<A so m<A = 46

lower base angles of isosceles trapezoid are equal so m<P = m<T so m<T = 134