Question

what's the answer do fast

Answer 1

ln triangleQPS
angle QPS + angle QSP +angle SQP = 180
angle QPS + 90 +50 =180
angle QPS = 180-140 =40

ln triangle PQR

angle QPR + angle RQP + angle PRQ= 180

since angle RQP= 50
and angle PRQ= 30

therefore angle QPR + 50 + 30 = 180
angle QPR= 180 - 80
therefore angle QPR = 100

according to question angle QPT = angle RPT

therefore angle QPT =(angle QPR)/2

or angle QPT = 100/2

or angle QPT = 50

but angle QPT = angle QPS + x
therefore 40 + x = 50
x = 10