Answer:
x = 62.5 degrees.
Step-by-step explanation:
As PQ = QT the triangle PQT is isosceles , so the base angles < QPT and <QTP (x) are equal.
So < QPT is x degrees also.
< PQT = 55 degrees (opposite angles) so, as there are 180 degrees in triangle PQT:
2x + 55 = 180
2x = 125
x = 62.5 degrees.
