Question

Plz answer my question

Answer 1

ang. BPQ = 5x - 20
ang. PQD = 2x - 10
it is clear that they are consecutive interior angles.
so their sum is 180°
so,
(5x - 20) + (2x - 10) = 180
5x - 20 + 2x - 10 = 180
7x - 30 = 180
7x = 180 + 30
x = 210/7
x = 30°
now you can know the measure of ang. BPQ and ang. PQD
hope it helps... :)