In the figure above, PQR is a straight line..

Question 1 Report

In the figure above, PQR is a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, ?SQR is 75 $^{\circ}$ and ?QPT is 25 $^{\circ}$ . Calculate the value of ?RST.

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Answer Details

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

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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...