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23.
n
PQU
is isosceles with base
P
w
U
w
.
n
PRT
is
isosceles with base
P
w
T
w
.
Step 1
The base angles of
n
PQU
are congruent.
Let
x
represent
m
/
P
and
m
/
QUP
.
m
/
P
1
m
/
QUP
1
m
/
PQU
5
¬
180
x
1
x
1
40
5
¬
180
2
x
5
¬
140
x
5
¬
70
So,
m
/
P
5
m
/
QUP
5
70.
Step 2
The base angles of
n
PRT
are congruent.
By Step 1 we know
m
/
P
5
70, so
m
/
T
5
70. Let
y
represent
m
/
R
.
m
/
P
1
m
/
T
1
m
/
R
5
¬
180
70
1
70
1
y
5
¬
180
y
5
¬
40
So,
m
/
R
5
40.
24.
n
RQS
is isosceles with base
Q
w
S
w
.The base angles
of
n
RQS
are congruent, so
/
RQS
>
/
RSQ
.We
are given
m
/
RQS
5
75, so
m
/
RSQ
5
75. Let
y
represent
m
/
R
.
m
/
RQS
1
m
/
RSQ
1
m
/
R
5
¬
180
75
1
75
1
y
5
¬
180
y
5
¬
30
So,
m
/
R
5
30.
25.
n
RQS
is isosceles with base
Q
w
S
w
.
n
RPT
is
isosceles with base
P
w
T
w
.
Step 1
The base angles of
n
RQS
are congruent,
and
m
/
RQS
5
80 so
m
/
RSQ
5
80. Let
x
represent
m
/
R
.
m
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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