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Mathematics
Mathematics
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
,
∠
P
=
48
∘
\angle P = 48^\circ
∠
P
=
4
8
∘
and
∠
Q
=
67
∘
\angle Q = 67^\circ
∠
Q
=
6
7
∘
. Side
Q
R
QR
QR
is produced beyond
R
R
R
to a point
S
S
S
. (i) Calculate
∠
R
\angle R
∠
R
. (ii) Calculate the measure of exterior angle
∠
P
R
S
\angle PRS
∠
P
R
S
. (iii) If
P
T
PT
P
T
is drawn through
P
P
P
such that
P
T
PT
P
T
is a straight line with
P
R
PR
P
R
, find
∠
Q
R
T
\angle QRT
∠
QR
T
.
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