In the figure above, PQR is a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, ?SQR is 75? ? and ?QPT is 25? ? . Calculate the value o...

Answer Details

In ? PQT,
?PTQ = 25${}^{?}$(base ?s of isosceles ?)
In ? QSR,
?RQS = ?QPT + ?QTP
(Extr = sum of interior opposite ?s)
?RQS = 25 + 25
= 50${}^{?}$
Also in ? QSR,
75 + ?RQS + ?QSR = 180${}^{?}$
(sum of ?s of ?)
?75 + 50 + ?QSR = 180
125 + ?QSR = 180
?QSR = 180 - 125
?QSR = 55${}^{?}$
But ?QSR and ?RST are the same
?RST = 55${}^{?}$