The values of x and y are 15 and 20 respectively
A trapezoid is a quadrilateral with a pair of parallel line.
The angles adjacent to the parallel sides are called base angles and are equal.
The sum of other two angles is 180°
This means that;
6x = 90
x = 90/6
x = 15
and also;
5y + 4y = 180
9y = 180
y = 180/9
y = 20
Therefore, the values of x and y are 15 and 20 respectively.